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Finding the Third Proportional to 49,789.88 and 107,502.75

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Solution

The third proportional to 49,789.88 and 107,502.75 is: 232,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,789.88 : 107,502.75 = 107,502.75 : x
  2. Step 2: Convert to fraction form
    49,789.88/107,502.75 = 107,502.75/x
  3. Step 3: Cross multiply
    49,789.88x = 107,502.75 × 107,502.75
  4. Step 4: Simplify right side
    49,789.88x = 11,556,841,257.56
  5. Step 5: Solve for x
    x = 11,556,841,257.56/49,789.88
  6. Step 6: Final answer
    x = 232,112.28

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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.