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Finding the Third Proportional to 49.88 and 109.97

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Solution

The third proportional to 49.88 and 109.97 is: 242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.88 : 109.97 = 109.97 : x
  2. Step 2: Convert to fraction form
    49.88/109.97 = 109.97/x
  3. Step 3: Cross multiply
    49.88x = 109.97 × 109.97
  4. Step 4: Simplify right side
    49.88x = 12,093.13
  5. Step 5: Solve for x
    x = 12,093.13/49.88
  6. Step 6: Final answer
    x = 242.47

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Why These Related Problems?

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