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Finding the Third Proportional to 49,200.33 and 102,769.59

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Solution

The third proportional to 49,200.33 and 102,769.59 is: 214,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.33 : 102,769.59 = 102,769.59 : x
  2. Step 2: Convert to fraction form
    49,200.33/102,769.59 = 102,769.59/x
  3. Step 3: Cross multiply
    49,200.33x = 102,769.59 × 102,769.59
  4. Step 4: Simplify right side
    49,200.33x = 10,561,589,399.54
  5. Step 5: Solve for x
    x = 10,561,589,399.54/49,200.33
  6. Step 6: Final answer
    x = 214,665.02

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.