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Finding the Third Proportional to 47,944.13 and 103,245.75

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Solution

The third proportional to 47,944.13 and 103,245.75 is: 222,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,944.13 : 103,245.75 = 103,245.75 : x
  2. Step 2: Convert to fraction form
    47,944.13/103,245.75 = 103,245.75/x
  3. Step 3: Cross multiply
    47,944.13x = 103,245.75 × 103,245.75
  4. Step 4: Simplify right side
    47,944.13x = 10,659,684,893.06
  5. Step 5: Solve for x
    x = 10,659,684,893.06/47,944.13
  6. Step 6: Final answer
    x = 222,335.58

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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.