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Finding the Third Proportional to 80,617,312.13 and 176,323,789.13

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Solution

The third proportional to 80,617,312.13 and 176,323,789.13 is: 385,650,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617,312.13 : 176,323,789.13 = 176,323,789.13 : x
  2. Step 2: Convert to fraction form
    80,617,312.13/176,323,789.13 = 176,323,789.13/x
  3. Step 3: Cross multiply
    80,617,312.13x = 176,323,789.13 × 176,323,789.13
  4. Step 4: Simplify right side
    80,617,312.13x = 31,090,078,611,397,468
  5. Step 5: Solve for x
    x = 31,090,078,611,397,468/80,617,312.13
  6. Step 6: Final answer
    x = 385,650,151.21

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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.