
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The diameter of one of the bases of a truncated cone is $100 \mathrm{~mm}$. If the diameter is increased by $21\%$ while the height and the size of the other base remain unchanged, the volume of the truncated cone also increases by $21\%$. What is the diameter of the other base?

Present the answer in LaTex format: \boxed{Your answer}
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