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Finding the Third Proportional to 49,939.88 and 107,291.06

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Solution

The third proportional to 49,939.88 and 107,291.06 is: 230,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,939.88 : 107,291.06 = 107,291.06 : x
  2. Step 2: Convert to fraction form
    49,939.88/107,291.06 = 107,291.06/x
  3. Step 3: Cross multiply
    49,939.88x = 107,291.06 × 107,291.06
  4. Step 4: Simplify right side
    49,939.88x = 11,511,372,092.38
  5. Step 5: Solve for x
    x = 11,511,372,092.38/49,939.88
  6. Step 6: Final answer
    x = 230,504.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.