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Finding the Third Proportional to 107,439.75 and 223,701.75

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Solution

The third proportional to 107,439.75 and 223,701.75 is: 465,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,439.75 : 223,701.75 = 223,701.75 : x
  2. Step 2: Convert to fraction form
    107,439.75/223,701.75 = 223,701.75/x
  3. Step 3: Cross multiply
    107,439.75x = 223,701.75 × 223,701.75
  4. Step 4: Simplify right side
    107,439.75x = 50,042,472,953.06
  5. Step 5: Solve for x
    x = 50,042,472,953.06/107,439.75
  6. Step 6: Final answer
    x = 465,772.43

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.