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Finding the Third Proportional to 86,816 and 188,992

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Solution

The third proportional to 86,816 and 188,992 is: 411,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816 : 188,992 = 188,992 : x
  2. Step 2: Convert to fraction form
    86,816/188,992 = 188,992/x
  3. Step 3: Cross multiply
    86,816x = 188,992 × 188,992
  4. Step 4: Simplify right side
    86,816x = 35,717,976,064
  5. Step 5: Solve for x
    x = 35,717,976,064/86,816
  6. Step 6: Final answer
    x = 411,421.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.