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Finding the Third Proportional to 230,171,446 and 351,002,067

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Solution

The third proportional to 230,171,446 and 351,002,067 is: 535,263,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,171,446 : 351,002,067 = 351,002,067 : x
  2. Step 2: Convert to fraction form
    230,171,446/351,002,067 = 351,002,067/x
  3. Step 3: Cross multiply
    230,171,446x = 351,002,067 × 351,002,067
  4. Step 4: Simplify right side
    230,171,446x = 123,202,451,038,272,496
  5. Step 5: Solve for x
    x = 123,202,451,038,272,496/230,171,446
  6. Step 6: Final answer
    x = 535,263,835.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.