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Finding the Third Proportional to 86,544 and 186,908

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Solution

The third proportional to 86,544 and 186,908 is: 403,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544 : 186,908 = 186,908 : x
  2. Step 2: Convert to fraction form
    86,544/186,908 = 186,908/x
  3. Step 3: Cross multiply
    86,544x = 186,908 × 186,908
  4. Step 4: Simplify right side
    86,544x = 34,934,600,464
  5. Step 5: Solve for x
    x = 34,934,600,464/86,544
  6. Step 6: Final answer
    x = 403,662.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.