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Finding the Third Proportional to 54,753,770 and 120,215,092

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Solution

The third proportional to 54,753,770 and 120,215,092 is: 263,939,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753,770 : 120,215,092 = 120,215,092 : x
  2. Step 2: Convert to fraction form
    54,753,770/120,215,092 = 120,215,092/x
  3. Step 3: Cross multiply
    54,753,770x = 120,215,092 × 120,215,092
  4. Step 4: Simplify right side
    54,753,770x = 14,451,668,344,568,464
  5. Step 5: Solve for x
    x = 14,451,668,344,568,464/54,753,770
  6. Step 6: Final answer
    x = 263,939,238.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.