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Finding the Third Proportional to 99,635 and 215,868

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Solution

The third proportional to 99,635 and 215,868 is: 467,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,635 : 215,868 = 215,868 : x
  2. Step 2: Convert to fraction form
    99,635/215,868 = 215,868/x
  3. Step 3: Cross multiply
    99,635x = 215,868 × 215,868
  4. Step 4: Simplify right side
    99,635x = 46,598,993,424
  5. Step 5: Solve for x
    x = 46,598,993,424/99,635
  6. Step 6: Final answer
    x = 467,697.03

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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.