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Finding the Third Proportional to 226,376,496 and 485,027,280

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Solution

The third proportional to 226,376,496 and 485,027,280 is: 1,039,204,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,376,496 : 485,027,280 = 485,027,280 : x
  2. Step 2: Convert to fraction form
    226,376,496/485,027,280 = 485,027,280/x
  3. Step 3: Cross multiply
    226,376,496x = 485,027,280 × 485,027,280
  4. Step 4: Simplify right side
    226,376,496x = 235,251,462,344,198,400
  5. Step 5: Solve for x
    x = 235,251,462,344,198,400/226,376,496
  6. Step 6: Final answer
    x = 1,039,204,451.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.