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Finding the Third Proportional to 91,452.50 and 199,663

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Solution

The third proportional to 91,452.50 and 199,663 is: 435,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,452.50 : 199,663 = 199,663 : x
  2. Step 2: Convert to fraction form
    91,452.50/199,663 = 199,663/x
  3. Step 3: Cross multiply
    91,452.50x = 199,663 × 199,663
  4. Step 4: Simplify right side
    91,452.50x = 39,865,313,569
  5. Step 5: Solve for x
    x = 39,865,313,569/91,452.50
  6. Step 6: Final answer
    x = 435,912.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.