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Finding the Third Proportional to 185,356,098 and 399,417,542

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Solution

The third proportional to 185,356,098 and 399,417,542 is: 860,691,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,356,098 : 399,417,542 = 399,417,542 : x
  2. Step 2: Convert to fraction form
    185,356,098/399,417,542 = 399,417,542/x
  3. Step 3: Cross multiply
    185,356,098x = 399,417,542 × 399,417,542
  4. Step 4: Simplify right side
    185,356,098x = 159,534,372,857,321,760
  5. Step 5: Solve for x
    x = 159,534,372,857,321,760/185,356,098
  6. Step 6: Final answer
    x = 860,691,256.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.