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Finding the Third Proportional to 48.97 and 101.22

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Solution

The third proportional to 48.97 and 101.22 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.97 : 101.22 = 101.22 : x
  2. Step 2: Convert to fraction form
    48.97/101.22 = 101.22/x
  3. Step 3: Cross multiply
    48.97x = 101.22 × 101.22
  4. Step 4: Simplify right side
    48.97x = 10,245.24
  5. Step 5: Solve for x
    x = 10,245.24/48.97
  6. Step 6: Final answer
    x = 209.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.