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Finding the Third Proportional to 107,314,866 and 232,777,404

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Solution

The third proportional to 107,314,866 and 232,777,404 is: 504,919,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,314,866 : 232,777,404 = 232,777,404 : x
  2. Step 2: Convert to fraction form
    107,314,866/232,777,404 = 232,777,404/x
  3. Step 3: Cross multiply
    107,314,866x = 232,777,404 × 232,777,404
  4. Step 4: Simplify right side
    107,314,866x = 54,185,319,812,979,216
  5. Step 5: Solve for x
    x = 54,185,319,812,979,216/107,314,866
  6. Step 6: Final answer
    x = 504,919,046.47

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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.