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Finding the Third Proportional to 99,178 and 218,474

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Solution

The third proportional to 99,178 and 218,474 is: 481,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,178 : 218,474 = 218,474 : x
  2. Step 2: Convert to fraction form
    99,178/218,474 = 218,474/x
  3. Step 3: Cross multiply
    99,178x = 218,474 × 218,474
  4. Step 4: Simplify right side
    99,178x = 47,730,888,676
  5. Step 5: Solve for x
    x = 47,730,888,676/99,178
  6. Step 6: Final answer
    x = 481,264.88

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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.