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Finding the Third Proportional to 55,759,538 and 120,786,225

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Solution

The third proportional to 55,759,538 and 120,786,225 is: 261,646,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,759,538 : 120,786,225 = 120,786,225 : x
  2. Step 2: Convert to fraction form
    55,759,538/120,786,225 = 120,786,225/x
  3. Step 3: Cross multiply
    55,759,538x = 120,786,225 × 120,786,225
  4. Step 4: Simplify right side
    55,759,538x = 14,589,312,149,750,624
  5. Step 5: Solve for x
    x = 14,589,312,149,750,624/55,759,538
  6. Step 6: Final answer
    x = 261,646,933.83

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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.