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Finding the Third Proportional to 99,606 and 215,816

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Solution

The third proportional to 99,606 and 215,816 is: 467,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,606 : 215,816 = 215,816 : x
  2. Step 2: Convert to fraction form
    99,606/215,816 = 215,816/x
  3. Step 3: Cross multiply
    99,606x = 215,816 × 215,816
  4. Step 4: Simplify right side
    99,606x = 46,576,545,856
  5. Step 5: Solve for x
    x = 46,576,545,856/99,606
  6. Step 6: Final answer
    x = 467,607.83

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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.