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Finding the Third Proportional to 96,594 and 204,816

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Solution

The third proportional to 96,594 and 204,816 is: 434,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594 : 204,816 = 204,816 : x
  2. Step 2: Convert to fraction form
    96,594/204,816 = 204,816/x
  3. Step 3: Cross multiply
    96,594x = 204,816 × 204,816
  4. Step 4: Simplify right side
    96,594x = 41,949,593,856
  5. Step 5: Solve for x
    x = 41,949,593,856/96,594
  6. Step 6: Final answer
    x = 434,287.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.