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Finding the Third Proportional to 49,939.50 and 107,290.50

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Solution

The third proportional to 49,939.50 and 107,290.50 is: 230,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,939.50 : 107,290.50 = 107,290.50 : x
  2. Step 2: Convert to fraction form
    49,939.50/107,290.50 = 107,290.50/x
  3. Step 3: Cross multiply
    49,939.50x = 107,290.50 × 107,290.50
  4. Step 4: Simplify right side
    49,939.50x = 11,511,251,390.25
  5. Step 5: Solve for x
    x = 11,511,251,390.25/49,939.50
  6. Step 6: Final answer
    x = 230,503.94

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