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Finding the Third Proportional to 87,104 and 190,816

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Solution

The third proportional to 87,104 and 190,816 is: 418,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104 : 190,816 = 190,816 : x
  2. Step 2: Convert to fraction form
    87,104/190,816 = 190,816/x
  3. Step 3: Cross multiply
    87,104x = 190,816 × 190,816
  4. Step 4: Simplify right side
    87,104x = 36,410,745,856
  5. Step 5: Solve for x
    x = 36,410,745,856/87,104
  6. Step 6: Final answer
    x = 418,014.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.