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Finding the Third Proportional to 86,635 and 188,093

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Solution

The third proportional to 86,635 and 188,093 is: 408,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,635 : 188,093 = 188,093 : x
  2. Step 2: Convert to fraction form
    86,635/188,093 = 188,093/x
  3. Step 3: Cross multiply
    86,635x = 188,093 × 188,093
  4. Step 4: Simplify right side
    86,635x = 35,378,976,649
  5. Step 5: Solve for x
    x = 35,378,976,649/86,635
  6. Step 6: Final answer
    x = 408,368.17

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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.