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Finding the Third Proportional to 49,891.13 and 108,394.13

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Solution

The third proportional to 49,891.13 and 108,394.13 is: 235,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891.13 : 108,394.13 = 108,394.13 : x
  2. Step 2: Convert to fraction form
    49,891.13/108,394.13 = 108,394.13/x
  3. Step 3: Cross multiply
    49,891.13x = 108,394.13 × 108,394.13
  4. Step 4: Simplify right side
    49,891.13x = 11,749,286,334.52
  5. Step 5: Solve for x
    x = 11,749,286,334.52/49,891.13
  6. Step 6: Final answer
    x = 235,498.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.