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Finding the Third Proportional to 91,233 and 200,448

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Solution

The third proportional to 91,233 and 200,448 is: 440,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,233 : 200,448 = 200,448 : x
  2. Step 2: Convert to fraction form
    91,233/200,448 = 200,448/x
  3. Step 3: Cross multiply
    91,233x = 200,448 × 200,448
  4. Step 4: Simplify right side
    91,233x = 40,179,400,704
  5. Step 5: Solve for x
    x = 40,179,400,704/91,233
  6. Step 6: Final answer
    x = 440,404.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.