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Finding the Third Proportional to 49,822.59 and 108,986.92

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Solution

The third proportional to 49,822.59 and 108,986.92 is: 238,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822.59 : 108,986.92 = 108,986.92 : x
  2. Step 2: Convert to fraction form
    49,822.59/108,986.92 = 108,986.92/x
  3. Step 3: Cross multiply
    49,822.59x = 108,986.92 × 108,986.92
  4. Step 4: Simplify right side
    49,822.59x = 11,878,149,565.52
  5. Step 5: Solve for x
    x = 11,878,149,565.52/49,822.59
  6. Step 6: Final answer
    x = 238,408.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.