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Finding the Third Proportional to 101,443.50 and 218,163

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Solution

The third proportional to 101,443.50 and 218,163 is: 469,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,443.50 : 218,163 = 218,163 : x
  2. Step 2: Convert to fraction form
    101,443.50/218,163 = 218,163/x
  3. Step 3: Cross multiply
    101,443.50x = 218,163 × 218,163
  4. Step 4: Simplify right side
    101,443.50x = 47,595,094,569
  5. Step 5: Solve for x
    x = 47,595,094,569/101,443.50
  6. Step 6: Final answer
    x = 469,178.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.