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Finding the Third Proportional to 106,509.38 and 229,627.13

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Solution

The third proportional to 106,509.38 and 229,627.13 is: 495,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.38 : 229,627.13 = 229,627.13 : x
  2. Step 2: Convert to fraction form
    106,509.38/229,627.13 = 229,627.13/x
  3. Step 3: Cross multiply
    106,509.38x = 229,627.13 × 229,627.13
  4. Step 4: Simplify right side
    106,509.38x = 52,728,616,535.77
  5. Step 5: Solve for x
    x = 52,728,616,535.77/106,509.38
  6. Step 6: Final answer
    x = 495,060.80

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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.