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Finding the Third Proportional to 106,743.75 and 229,982.25

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Solution

The third proportional to 106,743.75 and 229,982.25 is: 495,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,743.75 : 229,982.25 = 229,982.25 : x
  2. Step 2: Convert to fraction form
    106,743.75/229,982.25 = 229,982.25/x
  3. Step 3: Cross multiply
    106,743.75x = 229,982.25 × 229,982.25
  4. Step 4: Simplify right side
    106,743.75x = 52,891,835,315.06
  5. Step 5: Solve for x
    x = 52,891,835,315.06/106,743.75
  6. Step 6: Final answer
    x = 495,502.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.