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Finding the Third Proportional to 47,711.25 and 101,983.50

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Solution

The third proportional to 47,711.25 and 101,983.50 is: 217,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.25 : 101,983.50 = 101,983.50 : x
  2. Step 2: Convert to fraction form
    47,711.25/101,983.50 = 101,983.50/x
  3. Step 3: Cross multiply
    47,711.25x = 101,983.50 × 101,983.50
  4. Step 4: Simplify right side
    47,711.25x = 10,400,634,272.25
  5. Step 5: Solve for x
    x = 10,400,634,272.25/47,711.25
  6. Step 6: Final answer
    x = 217,991.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.