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Finding the Third Proportional to 40.38 and 88.63

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Solution

The third proportional to 40.38 and 88.63 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.38 : 88.63 = 88.63 : x
  2. Step 2: Convert to fraction form
    40.38/88.63 = 88.63/x
  3. Step 3: Cross multiply
    40.38x = 88.63 × 88.63
  4. Step 4: Simplify right side
    40.38x = 7,854.39
  5. Step 5: Solve for x
    x = 7,854.39/40.38
  6. Step 6: Final answer
    x = 194.54

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