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Finding the Third Proportional to 119,743.31 and 199,563.75

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Solution

The third proportional to 119,743.31 and 199,563.75 is: 332,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,743.31 : 199,563.75 = 199,563.75 : x
  2. Step 2: Convert to fraction form
    119,743.31/199,563.75 = 199,563.75/x
  3. Step 3: Cross multiply
    119,743.31x = 199,563.75 × 199,563.75
  4. Step 4: Simplify right side
    119,743.31x = 39,825,690,314.06
  5. Step 5: Solve for x
    x = 39,825,690,314.06/119,743.31
  6. Step 6: Final answer
    x = 332,592.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.