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Finding the Third Proportional to 107,471.81 and 227,744.44

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Solution

The third proportional to 107,471.81 and 227,744.44 is: 482,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,471.81 : 227,744.44 = 227,744.44 : x
  2. Step 2: Convert to fraction form
    107,471.81/227,744.44 = 227,744.44/x
  3. Step 3: Cross multiply
    107,471.81x = 227,744.44 × 227,744.44
  4. Step 4: Simplify right side
    107,471.81x = 51,867,528,812.19
  5. Step 5: Solve for x
    x = 51,867,528,812.19/107,471.81
  6. Step 6: Final answer
    x = 482,615.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.