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Finding the Third Proportional to 83,384,947.50 and 129,269,892

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Solution

The third proportional to 83,384,947.50 and 129,269,892 is: 200,404,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384,947.50 : 129,269,892 = 129,269,892 : x
  2. Step 2: Convert to fraction form
    83,384,947.50/129,269,892 = 129,269,892/x
  3. Step 3: Cross multiply
    83,384,947.50x = 129,269,892 × 129,269,892
  4. Step 4: Simplify right side
    83,384,947.50x = 16,710,704,977,691,664
  5. Step 5: Solve for x
    x = 16,710,704,977,691,664/83,384,947.50
  6. Step 6: Final answer
    x = 200,404,335.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.