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Finding the Third Proportional to 101.19 and 218.47

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Solution

The third proportional to 101.19 and 218.47 is: 471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.19 : 218.47 = 218.47 : x
  2. Step 2: Convert to fraction form
    101.19/218.47 = 218.47/x
  3. Step 3: Cross multiply
    101.19x = 218.47 × 218.47
  4. Step 4: Simplify right side
    101.19x = 47,728.59
  5. Step 5: Solve for x
    x = 47,728.59/101.19
  6. Step 6: Final answer
    x = 471.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.