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Finding the Third Proportional to 90,371.25 and 196,296.75

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Solution

The third proportional to 90,371.25 and 196,296.75 is: 426,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,371.25 : 196,296.75 = 196,296.75 : x
  2. Step 2: Convert to fraction form
    90,371.25/196,296.75 = 196,296.75/x
  3. Step 3: Cross multiply
    90,371.25x = 196,296.75 × 196,296.75
  4. Step 4: Simplify right side
    90,371.25x = 38,532,414,060.56
  5. Step 5: Solve for x
    x = 38,532,414,060.56/90,371.25
  6. Step 6: Final answer
    x = 426,379.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.