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Finding the Third Proportional to 106,383.38 and 229,578.38

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Solution

The third proportional to 106,383.38 and 229,578.38 is: 495,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,383.38 : 229,578.38 = 229,578.38 : x
  2. Step 2: Convert to fraction form
    106,383.38/229,578.38 = 229,578.38/x
  3. Step 3: Cross multiply
    106,383.38x = 229,578.38 × 229,578.38
  4. Step 4: Simplify right side
    106,383.38x = 52,706,230,267.64
  5. Step 5: Solve for x
    x = 52,706,230,267.64/106,383.38
  6. Step 6: Final answer
    x = 495,436.72

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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.