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Finding the Third Proportional to 99,474 and 213,672

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Solution

The third proportional to 99,474 and 213,672 is: 458,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,474 : 213,672 = 213,672 : x
  2. Step 2: Convert to fraction form
    99,474/213,672 = 213,672/x
  3. Step 3: Cross multiply
    99,474x = 213,672 × 213,672
  4. Step 4: Simplify right side
    99,474x = 45,655,723,584
  5. Step 5: Solve for x
    x = 45,655,723,584/99,474
  6. Step 6: Final answer
    x = 458,971.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.