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Finding the Third Proportional to 47,536.75 and 101,821.88

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Solution

The third proportional to 47,536.75 and 101,821.88 is: 218,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,536.75 : 101,821.88 = 101,821.88 : x
  2. Step 2: Convert to fraction form
    47,536.75/101,821.88 = 101,821.88/x
  3. Step 3: Cross multiply
    47,536.75x = 101,821.88 × 101,821.88
  4. Step 4: Simplify right side
    47,536.75x = 10,367,694,228.52
  5. Step 5: Solve for x
    x = 10,367,694,228.52/47,536.75
  6. Step 6: Final answer
    x = 218,098.51

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Why These Related Problems?

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