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Finding the Third Proportional to 99,996 and 217,484

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Solution

The third proportional to 99,996 and 217,484 is: 473,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,996 : 217,484 = 217,484 : x
  2. Step 2: Convert to fraction form
    99,996/217,484 = 217,484/x
  3. Step 3: Cross multiply
    99,996x = 217,484 × 217,484
  4. Step 4: Simplify right side
    99,996x = 47,299,290,256
  5. Step 5: Solve for x
    x = 47,299,290,256/99,996
  6. Step 6: Final answer
    x = 473,011.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.