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Finding the Third Proportional to 87,863,186.32 and 182,998,728.56

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Solution

The third proportional to 87,863,186.32 and 182,998,728.56 is: 381,144,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,863,186.32 : 182,998,728.56 = 182,998,728.56 : x
  2. Step 2: Convert to fraction form
    87,863,186.32/182,998,728.56 = 182,998,728.56/x
  3. Step 3: Cross multiply
    87,863,186.32x = 182,998,728.56 × 182,998,728.56
  4. Step 4: Simplify right side
    87,863,186.32x = 33,488,534,655,491,552
  5. Step 5: Solve for x
    x = 33,488,534,655,491,552/87,863,186.32
  6. Step 6: Final answer
    x = 381,144,095.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.