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Finding the Third Proportional to 47,928.38 and 98,205.75

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Solution

The third proportional to 47,928.38 and 98,205.75 is: 201,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,928.38 : 98,205.75 = 98,205.75 : x
  2. Step 2: Convert to fraction form
    47,928.38/98,205.75 = 98,205.75/x
  3. Step 3: Cross multiply
    47,928.38x = 98,205.75 × 98,205.75
  4. Step 4: Simplify right side
    47,928.38x = 9,644,369,333.06
  5. Step 5: Solve for x
    x = 9,644,369,333.06/47,928.38
  6. Step 6: Final answer
    x = 201,224.63

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.