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Finding the Third Proportional to 41,289.75 and 91,648.13

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Solution

The third proportional to 41,289.75 and 91,648.13 is: 203,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,289.75 : 91,648.13 = 91,648.13 : x
  2. Step 2: Convert to fraction form
    41,289.75/91,648.13 = 91,648.13/x
  3. Step 3: Cross multiply
    41,289.75x = 91,648.13 × 91,648.13
  4. Step 4: Simplify right side
    41,289.75x = 8,399,378,816.02
  5. Step 5: Solve for x
    x = 8,399,378,816.02/41,289.75
  6. Step 6: Final answer
    x = 203,425.28

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.