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Finding the Third Proportional to 83,384,952 and 129,269,898.75

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Solution

The third proportional to 83,384,952 and 129,269,898.75 is: 200,404,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384,952 : 129,269,898.75 = 129,269,898.75 : x
  2. Step 2: Convert to fraction form
    83,384,952/129,269,898.75 = 129,269,898.75/x
  3. Step 3: Cross multiply
    83,384,952x = 129,269,898.75 × 129,269,898.75
  4. Step 4: Simplify right side
    83,384,952x = 16,710,706,722,835,252
  5. Step 5: Solve for x
    x = 16,710,706,722,835,252/83,384,952
  6. Step 6: Final answer
    x = 200,404,345.41

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Why These Related Problems?

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