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Finding the Third Proportional to 86,299 and 192,686

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Solution

The third proportional to 86,299 and 192,686 is: 430,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,299 : 192,686 = 192,686 : x
  2. Step 2: Convert to fraction form
    86,299/192,686 = 192,686/x
  3. Step 3: Cross multiply
    86,299x = 192,686 × 192,686
  4. Step 4: Simplify right side
    86,299x = 37,127,894,596
  5. Step 5: Solve for x
    x = 37,127,894,596/86,299
  6. Step 6: Final answer
    x = 430,223.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.