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Finding the Third Proportional to 90,149.20 and 192,805.31

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Solution

The third proportional to 90,149.20 and 192,805.31 is: 412,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,149.20 : 192,805.31 = 192,805.31 : x
  2. Step 2: Convert to fraction form
    90,149.20/192,805.31 = 192,805.31/x
  3. Step 3: Cross multiply
    90,149.20x = 192,805.31 × 192,805.31
  4. Step 4: Simplify right side
    90,149.20x = 37,173,888,528.22
  5. Step 5: Solve for x
    x = 37,173,888,528.22/90,149.20
  6. Step 6: Final answer
    x = 412,359.59

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