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Finding the Third Proportional to 55,952,242 and 120,407,542

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Solution

The third proportional to 55,952,242 and 120,407,542 is: 259,113,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952,242 : 120,407,542 = 120,407,542 : x
  2. Step 2: Convert to fraction form
    55,952,242/120,407,542 = 120,407,542/x
  3. Step 3: Cross multiply
    55,952,242x = 120,407,542 × 120,407,542
  4. Step 4: Simplify right side
    55,952,242x = 14,497,976,170,481,764
  5. Step 5: Solve for x
    x = 14,497,976,170,481,764/55,952,242
  6. Step 6: Final answer
    x = 259,113,409.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.