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Finding the Third Proportional to 48,955,464 and 106,558,812

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Solution

The third proportional to 48,955,464 and 106,558,812 is: 231,941,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,955,464 : 106,558,812 = 106,558,812 : x
  2. Step 2: Convert to fraction form
    48,955,464/106,558,812 = 106,558,812/x
  3. Step 3: Cross multiply
    48,955,464x = 106,558,812 × 106,558,812
  4. Step 4: Simplify right side
    48,955,464x = 11,354,780,414,851,344
  5. Step 5: Solve for x
    x = 11,354,780,414,851,344/48,955,464
  6. Step 6: Final answer
    x = 231,941,023.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.