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Finding the Third Proportional to 47,190.75 and 96,036.75

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Solution

The third proportional to 47,190.75 and 96,036.75 is: 195,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,190.75 : 96,036.75 = 96,036.75 : x
  2. Step 2: Convert to fraction form
    47,190.75/96,036.75 = 96,036.75/x
  3. Step 3: Cross multiply
    47,190.75x = 96,036.75 × 96,036.75
  4. Step 4: Simplify right side
    47,190.75x = 9,223,057,350.56
  5. Step 5: Solve for x
    x = 9,223,057,350.56/47,190.75
  6. Step 6: Final answer
    x = 195,442.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.