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Finding the Third Proportional to 93,708 and 206,616

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Solution

The third proportional to 93,708 and 206,616 is: 455,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,708 : 206,616 = 206,616 : x
  2. Step 2: Convert to fraction form
    93,708/206,616 = 206,616/x
  3. Step 3: Cross multiply
    93,708x = 206,616 × 206,616
  4. Step 4: Simplify right side
    93,708x = 42,690,171,456
  5. Step 5: Solve for x
    x = 42,690,171,456/93,708
  6. Step 6: Final answer
    x = 455,565.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.