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Finding the Third Proportional to 91,452 and 199,662

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Solution

The third proportional to 91,452 and 199,662 is: 435,910.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,452 : 199,662 = 199,662 : x
  2. Step 2: Convert to fraction form
    91,452/199,662 = 199,662/x
  3. Step 3: Cross multiply
    91,452x = 199,662 × 199,662
  4. Step 4: Simplify right side
    91,452x = 39,864,914,244
  5. Step 5: Solve for x
    x = 39,864,914,244/91,452
  6. Step 6: Final answer
    x = 435,910.80

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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.