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Finding the Third Proportional to 94,672.50 and 204,107.25

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Solution

The third proportional to 94,672.50 and 204,107.25 is: 440,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,672.50 : 204,107.25 = 204,107.25 : x
  2. Step 2: Convert to fraction form
    94,672.50/204,107.25 = 204,107.25/x
  3. Step 3: Cross multiply
    94,672.50x = 204,107.25 × 204,107.25
  4. Step 4: Simplify right side
    94,672.50x = 41,659,769,502.56
  5. Step 5: Solve for x
    x = 41,659,769,502.56/94,672.50
  6. Step 6: Final answer
    x = 440,040.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.