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Finding the Third Proportional to 226,737,000 and 340,046,448

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Solution

The third proportional to 226,737,000 and 340,046,448 is: 509,981,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,737,000 : 340,046,448 = 340,046,448 : x
  2. Step 2: Convert to fraction form
    226,737,000/340,046,448 = 340,046,448/x
  3. Step 3: Cross multiply
    226,737,000x = 340,046,448 × 340,046,448
  4. Step 4: Simplify right side
    226,737,000x = 115,631,586,797,416,704
  5. Step 5: Solve for x
    x = 115,631,586,797,416,704/226,737,000
  6. Step 6: Final answer
    x = 509,981,109.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.