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Finding the Third Proportional to 47,982.94 and 103,255.88

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Solution

The third proportional to 47,982.94 and 103,255.88 is: 222,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982.94 : 103,255.88 = 103,255.88 : x
  2. Step 2: Convert to fraction form
    47,982.94/103,255.88 = 103,255.88/x
  3. Step 3: Cross multiply
    47,982.94x = 103,255.88 × 103,255.88
  4. Step 4: Simplify right side
    47,982.94x = 10,661,775,722.02
  5. Step 5: Solve for x
    x = 10,661,775,722.02/47,982.94
  6. Step 6: Final answer
    x = 222,199.31

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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.