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Finding the Third Proportional to 91,266.75 and 195,432.75

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Solution

The third proportional to 91,266.75 and 195,432.75 is: 418,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,266.75 : 195,432.75 = 195,432.75 : x
  2. Step 2: Convert to fraction form
    91,266.75/195,432.75 = 195,432.75/x
  3. Step 3: Cross multiply
    91,266.75x = 195,432.75 × 195,432.75
  4. Step 4: Simplify right side
    91,266.75x = 38,193,959,772.56
  5. Step 5: Solve for x
    x = 38,193,959,772.56/91,266.75
  6. Step 6: Final answer
    x = 418,487.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.