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Finding the Third Proportional to 224,278,049 and 327,902,341

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Solution

The third proportional to 224,278,049 and 327,902,341 is: 479,404,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,278,049 : 327,902,341 = 327,902,341 : x
  2. Step 2: Convert to fraction form
    224,278,049/327,902,341 = 327,902,341/x
  3. Step 3: Cross multiply
    224,278,049x = 327,902,341 × 327,902,341
  4. Step 4: Simplify right side
    224,278,049x = 107,519,945,233,280,288
  5. Step 5: Solve for x
    x = 107,519,945,233,280,288/224,278,049
  6. Step 6: Final answer
    x = 479,404,675.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.