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Finding the Third Proportional to 43,648.88 and 95,293.97

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Solution

The third proportional to 43,648.88 and 95,293.97 is: 208,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648.88 : 95,293.97 = 95,293.97 : x
  2. Step 2: Convert to fraction form
    43,648.88/95,293.97 = 95,293.97/x
  3. Step 3: Cross multiply
    43,648.88x = 95,293.97 × 95,293.97
  4. Step 4: Simplify right side
    43,648.88x = 9,080,940,480.13
  5. Step 5: Solve for x
    x = 9,080,940,480.13/43,648.88
  6. Step 6: Final answer
    x = 208,045.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.