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Finding the Third Proportional to 101,125.97 and 218,027.95

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Solution

The third proportional to 101,125.97 and 218,027.95 is: 470,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,125.97 : 218,027.95 = 218,027.95 : x
  2. Step 2: Convert to fraction form
    101,125.97/218,027.95 = 218,027.95/x
  3. Step 3: Cross multiply
    101,125.97x = 218,027.95 × 218,027.95
  4. Step 4: Simplify right side
    101,125.97x = 47,536,188,343.88
  5. Step 5: Solve for x
    x = 47,536,188,343.88/101,125.97
  6. Step 6: Final answer
    x = 470,069.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.