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Finding the Third Proportional to 187,981,952 and 287,377,188

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Solution

The third proportional to 187,981,952 and 287,377,188 is: 439,327,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,981,952 : 287,377,188 = 287,377,188 : x
  2. Step 2: Convert to fraction form
    187,981,952/287,377,188 = 287,377,188/x
  3. Step 3: Cross multiply
    187,981,952x = 287,377,188 × 287,377,188
  4. Step 4: Simplify right side
    187,981,952x = 82,585,648,182,787,344
  5. Step 5: Solve for x
    x = 82,585,648,182,787,344/187,981,952
  6. Step 6: Final answer
    x = 439,327,538.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.