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Finding the Third Proportional to 83,384,972 and 129,269,931

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Solution

The third proportional to 83,384,972 and 129,269,931 is: 200,404,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384,972 : 129,269,931 = 129,269,931 : x
  2. Step 2: Convert to fraction form
    83,384,972/129,269,931 = 129,269,931/x
  3. Step 3: Cross multiply
    83,384,972x = 129,269,931 × 129,269,931
  4. Step 4: Simplify right side
    83,384,972x = 16,710,715,060,744,760
  5. Step 5: Solve for x
    x = 16,710,715,060,744,760/83,384,972
  6. Step 6: Final answer
    x = 200,404,397.34

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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.