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Finding the Third Proportional to 99,652 and 218,996

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Solution

The third proportional to 99,652 and 218,996 is: 481,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652 : 218,996 = 218,996 : x
  2. Step 2: Convert to fraction form
    99,652/218,996 = 218,996/x
  3. Step 3: Cross multiply
    99,652x = 218,996 × 218,996
  4. Step 4: Simplify right side
    99,652x = 47,959,248,016
  5. Step 5: Solve for x
    x = 47,959,248,016/99,652
  6. Step 6: Final answer
    x = 481,267.29

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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.