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Finding the Third Proportional to 104,565 and 222,616

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Solution

The third proportional to 104,565 and 222,616 is: 473,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,565 : 222,616 = 222,616 : x
  2. Step 2: Convert to fraction form
    104,565/222,616 = 222,616/x
  3. Step 3: Cross multiply
    104,565x = 222,616 × 222,616
  4. Step 4: Simplify right side
    104,565x = 49,557,883,456
  5. Step 5: Solve for x
    x = 49,557,883,456/104,565
  6. Step 6: Final answer
    x = 473,943.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.