
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
In a certain county, the winter peach yield in 2019 was 80 tons, and in 2021 it was 115.2 tons. If the annual average growth rate of winter peach yield in the ecological orchard is the same,<br/>$(1)$ Find the annual average growth rate of the winter peach yield in the ecological orchard.<br/>$(2)$ If the annual growth rate of the winter peach yield remains the same for the next year, estimate the winter peach yield of the ecological orchard in 2022.

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