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Finding the Third Proportional to 83,107.69 and 183,711.38

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Solution

The third proportional to 83,107.69 and 183,711.38 is: 406,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,107.69 : 183,711.38 = 183,711.38 : x
  2. Step 2: Convert to fraction form
    83,107.69/183,711.38 = 183,711.38/x
  3. Step 3: Cross multiply
    83,107.69x = 183,711.38 × 183,711.38
  4. Step 4: Simplify right side
    83,107.69x = 33,749,869,304.39
  5. Step 5: Solve for x
    x = 33,749,869,304.39/83,107.69
  6. Step 6: Final answer
    x = 406,098.04

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.