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Finding the Third Proportional to 91,220 and 200,422

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Solution

The third proportional to 91,220 and 200,422 is: 440,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,220 : 200,422 = 200,422 : x
  2. Step 2: Convert to fraction form
    91,220/200,422 = 200,422/x
  3. Step 3: Cross multiply
    91,220x = 200,422 × 200,422
  4. Step 4: Simplify right side
    91,220x = 40,168,978,084
  5. Step 5: Solve for x
    x = 40,168,978,084/91,220
  6. Step 6: Final answer
    x = 440,352.75

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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.