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Finding the Third Proportional to 187,871,497 and 381,025,514

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Solution

The third proportional to 187,871,497 and 381,025,514 is: 772,764,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871,497 : 381,025,514 = 381,025,514 : x
  2. Step 2: Convert to fraction form
    187,871,497/381,025,514 = 381,025,514/x
  3. Step 3: Cross multiply
    187,871,497x = 381,025,514 × 381,025,514
  4. Step 4: Simplify right side
    187,871,497x = 145,180,442,318,964,192
  5. Step 5: Solve for x
    x = 145,180,442,318,964,192/187,871,497
  6. Step 6: Final answer
    x = 772,764,600.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.