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Finding the Third Proportional to 90,447 and 192,902

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Solution

The third proportional to 90,447 and 192,902 is: 411,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,447 : 192,902 = 192,902 : x
  2. Step 2: Convert to fraction form
    90,447/192,902 = 192,902/x
  3. Step 3: Cross multiply
    90,447x = 192,902 × 192,902
  4. Step 4: Simplify right side
    90,447x = 37,211,181,604
  5. Step 5: Solve for x
    x = 37,211,181,604/90,447
  6. Step 6: Final answer
    x = 411,414.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.