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Finding the Third Proportional to 41,571.56 and 91,446.75

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Solution

The third proportional to 41,571.56 and 91,446.75 is: 201,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571.56 : 91,446.75 = 91,446.75 : x
  2. Step 2: Convert to fraction form
    41,571.56/91,446.75 = 91,446.75/x
  3. Step 3: Cross multiply
    41,571.56x = 91,446.75 × 91,446.75
  4. Step 4: Simplify right side
    41,571.56x = 8,362,508,085.56
  5. Step 5: Solve for x
    x = 8,362,508,085.56/41,571.56
  6. Step 6: Final answer
    x = 201,159.34

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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.