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Finding the Third Proportional to 83,116.97 and 172,146.09

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Solution

The third proportional to 83,116.97 and 172,146.09 is: 356,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.97 : 172,146.09 = 172,146.09 : x
  2. Step 2: Convert to fraction form
    83,116.97/172,146.09 = 172,146.09/x
  3. Step 3: Cross multiply
    83,116.97x = 172,146.09 × 172,146.09
  4. Step 4: Simplify right side
    83,116.97x = 29,634,277,593.38
  5. Step 5: Solve for x
    x = 29,634,277,593.38/83,116.97
  6. Step 6: Final answer
    x = 356,537.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.