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Finding the Third Proportional to 88,366 and 181,916

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Solution

The third proportional to 88,366 and 181,916 is: 374,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,366 : 181,916 = 181,916 : x
  2. Step 2: Convert to fraction form
    88,366/181,916 = 181,916/x
  3. Step 3: Cross multiply
    88,366x = 181,916 × 181,916
  4. Step 4: Simplify right side
    88,366x = 33,093,431,056
  5. Step 5: Solve for x
    x = 33,093,431,056/88,366
  6. Step 6: Final answer
    x = 374,504.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.