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Finding the Third Proportional to 55,952,234 and 120,407,526

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Solution

The third proportional to 55,952,234 and 120,407,526 is: 259,113,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952,234 : 120,407,526 = 120,407,526 : x
  2. Step 2: Convert to fraction form
    55,952,234/120,407,526 = 120,407,526/x
  3. Step 3: Cross multiply
    55,952,234x = 120,407,526 × 120,407,526
  4. Step 4: Simplify right side
    55,952,234x = 14,497,972,317,440,676
  5. Step 5: Solve for x
    x = 14,497,972,317,440,676/55,952,234
  6. Step 6: Final answer
    x = 259,113,377.27

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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.