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Finding the Third Proportional to 159,930,569 and 245,715,642

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Solution

The third proportional to 159,930,569 and 245,715,642 is: 377,514,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,930,569 : 245,715,642 = 245,715,642 : x
  2. Step 2: Convert to fraction form
    159,930,569/245,715,642 = 245,715,642/x
  3. Step 3: Cross multiply
    159,930,569x = 245,715,642 × 245,715,642
  4. Step 4: Simplify right side
    159,930,569x = 60,376,176,723,472,160
  5. Step 5: Solve for x
    x = 60,376,176,723,472,160/159,930,569
  6. Step 6: Final answer
    x = 377,514,924.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.