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Finding the Third Proportional to 99,941 and 212,829

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Solution

The third proportional to 99,941 and 212,829 is: 453,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,941 : 212,829 = 212,829 : x
  2. Step 2: Convert to fraction form
    99,941/212,829 = 212,829/x
  3. Step 3: Cross multiply
    99,941x = 212,829 × 212,829
  4. Step 4: Simplify right side
    99,941x = 45,296,183,241
  5. Step 5: Solve for x
    x = 45,296,183,241/99,941
  6. Step 6: Final answer
    x = 453,229.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.