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Finding the Third Proportional to 80,965,743 and 176,307,366

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Solution

The third proportional to 80,965,743 and 176,307,366 is: 383,919,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,965,743 : 176,307,366 = 176,307,366 : x
  2. Step 2: Convert to fraction form
    80,965,743/176,307,366 = 176,307,366/x
  3. Step 3: Cross multiply
    80,965,743x = 176,307,366 × 176,307,366
  4. Step 4: Simplify right side
    80,965,743x = 31,084,287,305,857,956
  5. Step 5: Solve for x
    x = 31,084,287,305,857,956/80,965,743
  6. Step 6: Final answer
    x = 383,919,002.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.