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Finding the Third Proportional to 41,991 and 88,806

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Solution

The third proportional to 41,991 and 88,806 is: 187,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,991 : 88,806 = 88,806 : x
  2. Step 2: Convert to fraction form
    41,991/88,806 = 88,806/x
  3. Step 3: Cross multiply
    41,991x = 88,806 × 88,806
  4. Step 4: Simplify right side
    41,991x = 7,886,505,636
  5. Step 5: Solve for x
    x = 7,886,505,636/41,991
  6. Step 6: Final answer
    x = 187,814.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.