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Finding the Third Proportional to 47,194.31 and 91,997.44

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Solution

The third proportional to 47,194.31 and 91,997.44 is: 179,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,194.31 : 91,997.44 = 91,997.44 : x
  2. Step 2: Convert to fraction form
    47,194.31/91,997.44 = 91,997.44/x
  3. Step 3: Cross multiply
    47,194.31x = 91,997.44 × 91,997.44
  4. Step 4: Simplify right side
    47,194.31x = 8,463,528,506.57
  5. Step 5: Solve for x
    x = 8,463,528,506.57/47,194.31
  6. Step 6: Final answer
    x = 179,333.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.