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Finding the Third Proportional to 41.19 and 88.81

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Solution

The third proportional to 41.19 and 88.81 is: 191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.19 : 88.81 = 88.81 : x
  2. Step 2: Convert to fraction form
    41.19/88.81 = 88.81/x
  3. Step 3: Cross multiply
    41.19x = 88.81 × 88.81
  4. Step 4: Simplify right side
    41.19x = 7,887.66
  5. Step 5: Solve for x
    x = 7,887.66/41.19
  6. Step 6: Final answer
    x = 191.51

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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.