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Finding the Third Proportional to 203,411,162 and 441,498,849

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Solution

The third proportional to 203,411,162 and 441,498,849 is: 958,262,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411,162 : 441,498,849 = 441,498,849 : x
  2. Step 2: Convert to fraction form
    203,411,162/441,498,849 = 441,498,849/x
  3. Step 3: Cross multiply
    203,411,162x = 441,498,849 × 441,498,849
  4. Step 4: Simplify right side
    203,411,162x = 194,921,233,668,324,800
  5. Step 5: Solve for x
    x = 194,921,233,668,324,800/203,411,162
  6. Step 6: Final answer
    x = 958,262,229.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.