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Finding the Third Proportional to 101,065.50 and 218,950.88

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Solution

The third proportional to 101,065.50 and 218,950.88 is: 474,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065.50 : 218,950.88 = 218,950.88 : x
  2. Step 2: Convert to fraction form
    101,065.50/218,950.88 = 218,950.88/x
  3. Step 3: Cross multiply
    101,065.50x = 218,950.88 × 218,950.88
  4. Step 4: Simplify right side
    101,065.50x = 47,939,485,663.27
  5. Step 5: Solve for x
    x = 47,939,485,663.27/101,065.50
  6. Step 6: Final answer
    x = 474,340.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.