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Finding the Third Proportional to 101.27 and 222.15

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Solution

The third proportional to 101.27 and 222.15 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.27 : 222.15 = 222.15 : x
  2. Step 2: Convert to fraction form
    101.27/222.15 = 222.15/x
  3. Step 3: Cross multiply
    101.27x = 222.15 × 222.15
  4. Step 4: Simplify right side
    101.27x = 49,351.66
  5. Step 5: Solve for x
    x = 49,351.66/101.27
  6. Step 6: Final answer
    x = 487.33

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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.