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Finding the Third Proportional to 83,916,397.13 and 176,529,642.75

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Solution

The third proportional to 83,916,397.13 and 176,529,642.75 is: 371,354,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,397.13 : 176,529,642.75 = 176,529,642.75 : x
  2. Step 2: Convert to fraction form
    83,916,397.13/176,529,642.75 = 176,529,642.75/x
  3. Step 3: Cross multiply
    83,916,397.13x = 176,529,642.75 × 176,529,642.75
  4. Step 4: Simplify right side
    83,916,397.13x = 31,162,714,769,442,628
  5. Step 5: Solve for x
    x = 31,162,714,769,442,628/83,916,397.13
  6. Step 6: Final answer
    x = 371,354,298.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.