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Finding the Third Proportional to 106,742.25 and 229,979.25

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Solution

The third proportional to 106,742.25 and 229,979.25 is: 495,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,742.25 : 229,979.25 = 229,979.25 : x
  2. Step 2: Convert to fraction form
    106,742.25/229,979.25 = 229,979.25/x
  3. Step 3: Cross multiply
    106,742.25x = 229,979.25 × 229,979.25
  4. Step 4: Simplify right side
    106,742.25x = 52,890,455,430.56
  5. Step 5: Solve for x
    x = 52,890,455,430.56/106,742.25
  6. Step 6: Final answer
    x = 495,496.91

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Why These Related Problems?

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