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Finding the Third Proportional to 90,208 and 192,932

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Solution

The third proportional to 90,208 and 192,932 is: 412,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,208 : 192,932 = 192,932 : x
  2. Step 2: Convert to fraction form
    90,208/192,932 = 192,932/x
  3. Step 3: Cross multiply
    90,208x = 192,932 × 192,932
  4. Step 4: Simplify right side
    90,208x = 37,222,756,624
  5. Step 5: Solve for x
    x = 37,222,756,624/90,208
  6. Step 6: Final answer
    x = 412,632.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.