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Finding the Third Proportional to 49,766.44 and 108,280.41

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Solution

The third proportional to 49,766.44 and 108,280.41 is: 235,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766.44 : 108,280.41 = 108,280.41 : x
  2. Step 2: Convert to fraction form
    49,766.44/108,280.41 = 108,280.41/x
  3. Step 3: Cross multiply
    49,766.44x = 108,280.41 × 108,280.41
  4. Step 4: Simplify right side
    49,766.44x = 11,724,646,377.67
  5. Step 5: Solve for x
    x = 11,724,646,377.67/49,766.44
  6. Step 6: Final answer
    x = 235,593.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.