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Finding the Third Proportional to 106,747.50 and 229,989

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Solution

The third proportional to 106,747.50 and 229,989 is: 495,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,747.50 : 229,989 = 229,989 : x
  2. Step 2: Convert to fraction form
    106,747.50/229,989 = 229,989/x
  3. Step 3: Cross multiply
    106,747.50x = 229,989 × 229,989
  4. Step 4: Simplify right side
    106,747.50x = 52,894,940,121
  5. Step 5: Solve for x
    x = 52,894,940,121/106,747.50
  6. Step 6: Final answer
    x = 495,514.56

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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.