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Finding the Third Proportional to 48,523.59 and 102,879.19

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Solution

The third proportional to 48,523.59 and 102,879.19 is: 218,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,523.59 : 102,879.19 = 102,879.19 : x
  2. Step 2: Convert to fraction form
    48,523.59/102,879.19 = 102,879.19/x
  3. Step 3: Cross multiply
    48,523.59x = 102,879.19 × 102,879.19
  4. Step 4: Simplify right side
    48,523.59x = 10,584,127,220.66
  5. Step 5: Solve for x
    x = 10,584,127,220.66/48,523.59
  6. Step 6: Final answer
    x = 218,123.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.