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Finding the Third Proportional to 99,608 and 215,812

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Solution

The third proportional to 99,608 and 215,812 is: 467,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,608 : 215,812 = 215,812 : x
  2. Step 2: Convert to fraction form
    99,608/215,812 = 215,812/x
  3. Step 3: Cross multiply
    99,608x = 215,812 × 215,812
  4. Step 4: Simplify right side
    99,608x = 46,574,819,344
  5. Step 5: Solve for x
    x = 46,574,819,344/99,608
  6. Step 6: Final answer
    x = 467,581.11

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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.