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Finding the Third Proportional to 91,280 and 199,765

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Solution

The third proportional to 91,280 and 199,765 is: 437,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,280 : 199,765 = 199,765 : x
  2. Step 2: Convert to fraction form
    91,280/199,765 = 199,765/x
  3. Step 3: Cross multiply
    91,280x = 199,765 × 199,765
  4. Step 4: Simplify right side
    91,280x = 39,906,055,225
  5. Step 5: Solve for x
    x = 39,906,055,225/91,280
  6. Step 6: Final answer
    x = 437,182.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.