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Finding the Third Proportional to 91,204 and 199,040

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Solution

The third proportional to 91,204 and 199,040 is: 434,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,204 : 199,040 = 199,040 : x
  2. Step 2: Convert to fraction form
    91,204/199,040 = 199,040/x
  3. Step 3: Cross multiply
    91,204x = 199,040 × 199,040
  4. Step 4: Simplify right side
    91,204x = 39,616,921,600
  5. Step 5: Solve for x
    x = 39,616,921,600/91,204
  6. Step 6: Final answer
    x = 434,377.02

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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.