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Finding the Third Proportional to 86,864 and 188,800

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Solution

The third proportional to 86,864 and 188,800 is: 410,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,864 : 188,800 = 188,800 : x
  2. Step 2: Convert to fraction form
    86,864/188,800 = 188,800/x
  3. Step 3: Cross multiply
    86,864x = 188,800 × 188,800
  4. Step 4: Simplify right side
    86,864x = 35,645,440,000
  5. Step 5: Solve for x
    x = 35,645,440,000/86,864
  6. Step 6: Final answer
    x = 410,359.18

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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.