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Finding the Third Proportional to 41,910.75 and 91,189.13

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Solution

The third proportional to 41,910.75 and 91,189.13 is: 198,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,910.75 : 91,189.13 = 91,189.13 : x
  2. Step 2: Convert to fraction form
    41,910.75/91,189.13 = 91,189.13/x
  3. Step 3: Cross multiply
    41,910.75x = 91,189.13 × 91,189.13
  4. Step 4: Simplify right side
    41,910.75x = 8,315,456,518.27
  5. Step 5: Solve for x
    x = 8,315,456,518.27/41,910.75
  6. Step 6: Final answer
    x = 198,408.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.