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Finding the Third Proportional to 101,847 and 223,998

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Solution

The third proportional to 101,847 and 223,998 is: 492,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847 : 223,998 = 223,998 : x
  2. Step 2: Convert to fraction form
    101,847/223,998 = 223,998/x
  3. Step 3: Cross multiply
    101,847x = 223,998 × 223,998
  4. Step 4: Simplify right side
    101,847x = 50,175,104,004
  5. Step 5: Solve for x
    x = 50,175,104,004/101,847
  6. Step 6: Final answer
    x = 492,651.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.