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Finding the Third Proportional to 41,991.33 and 91,363.36

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Solution

The third proportional to 41,991.33 and 91,363.36 is: 198,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,991.33 : 91,363.36 = 91,363.36 : x
  2. Step 2: Convert to fraction form
    41,991.33/91,363.36 = 91,363.36/x
  3. Step 3: Cross multiply
    41,991.33x = 91,363.36 × 91,363.36
  4. Step 4: Simplify right side
    41,991.33x = 8,347,263,436.29
  5. Step 5: Solve for x
    x = 8,347,263,436.29/41,991.33
  6. Step 6: Final answer
    x = 198,785.41

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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.