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Finding the Third Proportional to 99,174 and 218,004

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Solution

The third proportional to 99,174 and 218,004 is: 479,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,174 : 218,004 = 218,004 : x
  2. Step 2: Convert to fraction form
    99,174/218,004 = 218,004/x
  3. Step 3: Cross multiply
    99,174x = 218,004 × 218,004
  4. Step 4: Simplify right side
    99,174x = 47,525,744,016
  5. Step 5: Solve for x
    x = 47,525,744,016/99,174
  6. Step 6: Final answer
    x = 479,215.76

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