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Finding the Third Proportional to 116,209.88 and 179,569.88

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Solution

The third proportional to 116,209.88 and 179,569.88 is: 277,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,209.88 : 179,569.88 = 179,569.88 : x
  2. Step 2: Convert to fraction form
    116,209.88/179,569.88 = 179,569.88/x
  3. Step 3: Cross multiply
    116,209.88x = 179,569.88 × 179,569.88
  4. Step 4: Simplify right side
    116,209.88x = 32,245,340,007.52
  5. Step 5: Solve for x
    x = 32,245,340,007.52/116,209.88
  6. Step 6: Final answer
    x = 277,475.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.