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Finding the Third Proportional to 86,038 and 188,694

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Solution

The third proportional to 86,038 and 188,694 is: 413,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 188,694 = 188,694 : x
  2. Step 2: Convert to fraction form
    86,038/188,694 = 188,694/x
  3. Step 3: Cross multiply
    86,038x = 188,694 × 188,694
  4. Step 4: Simplify right side
    86,038x = 35,605,425,636
  5. Step 5: Solve for x
    x = 35,605,425,636/86,038
  6. Step 6: Final answer
    x = 413,833.72

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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.