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Finding the Third Proportional to 101,215.50 and 218,001

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Solution

The third proportional to 101,215.50 and 218,001 is: 469,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,215.50 : 218,001 = 218,001 : x
  2. Step 2: Convert to fraction form
    101,215.50/218,001 = 218,001/x
  3. Step 3: Cross multiply
    101,215.50x = 218,001 × 218,001
  4. Step 4: Simplify right side
    101,215.50x = 47,524,436,001
  5. Step 5: Solve for x
    x = 47,524,436,001/101,215.50
  6. Step 6: Final answer
    x = 469,537.14

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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.