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Finding the Third Proportional to 49,321.88 and 108,697.69

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Solution

The third proportional to 49,321.88 and 108,697.69 is: 239,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321.88 : 108,697.69 = 108,697.69 : x
  2. Step 2: Convert to fraction form
    49,321.88/108,697.69 = 108,697.69/x
  3. Step 3: Cross multiply
    49,321.88x = 108,697.69 × 108,697.69
  4. Step 4: Simplify right side
    49,321.88x = 11,815,187,267.85
  5. Step 5: Solve for x
    x = 11,815,187,267.85/49,321.88
  6. Step 6: Final answer
    x = 239,552.68

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