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Finding the Third Proportional to 47,011.25 and 97,910.75

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Solution

The third proportional to 47,011.25 and 97,910.75 is: 203,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,011.25 : 97,910.75 = 97,910.75 : x
  2. Step 2: Convert to fraction form
    47,011.25/97,910.75 = 97,910.75/x
  3. Step 3: Cross multiply
    47,011.25x = 97,910.75 × 97,910.75
  4. Step 4: Simplify right side
    47,011.25x = 9,586,514,965.56
  5. Step 5: Solve for x
    x = 9,586,514,965.56/47,011.25
  6. Step 6: Final answer
    x = 203,919.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.