The Preposition “随着”
In Chinese, “随着” (suízhe) normally comes before a phrase or clause that expresses a change.
It shows that a change in one thing creates the conditions for another to happen.
How it is translated
Depending on the context:
with … / along with …
as …
as … increases
as … improves
Basic structure
随着 + change，result
Meaning
As one thing changes, another also happens or changes.
随着中国的发展，越来越多的外国学生来到中国的大学学习
随着 + 中国的发展，
with China’s development / as China develops
越来越多的外国学生来到中国的大学学习。
more and more foreign students come to study at Chinese universities
随着 — with … / as …
中国的发展 — China’s development
越来越多 — more and more
外国学生 — foreign students
来到中国的大学学习 — come to study at Chinese universities
Here China’s development is the first change, and the growing number of foreign students is the result tied to it.
随着中文水平的提高，我现在能看懂中文报纸了
随着 + 中文水平的提高，
with the improvement of my Chinese level
我现在能看懂中文报纸了。
I can now read Chinese newspapers with understanding
中文水平 — level of Chinese
提高 — rise / improve
现在 — now
能看懂 — be able to read and understand
中文报纸 — Chinese newspaper
随着小区的环境越来越好，来这里买房子的人也变多了
随着 + 小区的环境越来越好，
as the residential area’s environment keeps getting better
来这里买房子的人也变多了。
the people coming here to buy homes have also grown in number
小区的环境 — the residential area’s environment
越来越好 — get better and better
来这里买房子的人 — the people coming here to buy homes
也 — also
变多了 — have become more numerous
Rule in brief
随着 + change in A，result / change in B
That is: as A changes, B changes too.