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Finding the Third Proportional to 49.66 and 108.92

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Solution

The third proportional to 49.66 and 108.92 is: 238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.66 : 108.92 = 108.92 : x
  2. Step 2: Convert to fraction form
    49.66/108.92 = 108.92/x
  3. Step 3: Cross multiply
    49.66x = 108.92 × 108.92
  4. Step 4: Simplify right side
    49.66x = 11,864.19
  5. Step 5: Solve for x
    x = 11,864.19/49.66
  6. Step 6: Final answer
    x = 238.93

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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.