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Finding the Third Proportional to 80,617,306.13 and 176,323,777.13

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Solution

The third proportional to 80,617,306.13 and 176,323,777.13 is: 385,650,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617,306.13 : 176,323,777.13 = 176,323,777.13 : x
  2. Step 2: Convert to fraction form
    80,617,306.13/176,323,777.13 = 176,323,777.13/x
  3. Step 3: Cross multiply
    80,617,306.13x = 176,323,777.13 × 176,323,777.13
  4. Step 4: Simplify right side
    80,617,306.13x = 31,090,074,379,626,672
  5. Step 5: Solve for x
    x = 31,090,074,379,626,672/80,617,306.13
  6. Step 6: Final answer
    x = 385,650,127.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.