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Finding the Third Proportional to 95,616 and 207,816

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Solution

The third proportional to 95,616 and 207,816 is: 451,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,616 : 207,816 = 207,816 : x
  2. Step 2: Convert to fraction form
    95,616/207,816 = 207,816/x
  3. Step 3: Cross multiply
    95,616x = 207,816 × 207,816
  4. Step 4: Simplify right side
    95,616x = 43,187,489,856
  5. Step 5: Solve for x
    x = 43,187,489,856/95,616
  6. Step 6: Final answer
    x = 451,676.39

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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.