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Finding the Third Proportional to 85,883 and 188,893

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Solution

The third proportional to 85,883 and 188,893 is: 415,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,883 : 188,893 = 188,893 : x
  2. Step 2: Convert to fraction form
    85,883/188,893 = 188,893/x
  3. Step 3: Cross multiply
    85,883x = 188,893 × 188,893
  4. Step 4: Simplify right side
    85,883x = 35,680,565,449
  5. Step 5: Solve for x
    x = 35,680,565,449/85,883
  6. Step 6: Final answer
    x = 415,455.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.