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Finding the Third Proportional to 86,177 and 188,391

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Solution

The third proportional to 86,177 and 188,391 is: 411,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,177 : 188,391 = 188,391 : x
  2. Step 2: Convert to fraction form
    86,177/188,391 = 188,391/x
  3. Step 3: Cross multiply
    86,177x = 188,391 × 188,391
  4. Step 4: Simplify right side
    86,177x = 35,491,168,881
  5. Step 5: Solve for x
    x = 35,491,168,881/86,177
  6. Step 6: Final answer
    x = 411,840.39

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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.