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Finding the Third Proportional to 86,018 and 183,698

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Solution

The third proportional to 86,018 and 183,698 is: 392,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,018 : 183,698 = 183,698 : x
  2. Step 2: Convert to fraction form
    86,018/183,698 = 183,698/x
  3. Step 3: Cross multiply
    86,018x = 183,698 × 183,698
  4. Step 4: Simplify right side
    86,018x = 33,744,955,204
  5. Step 5: Solve for x
    x = 33,744,955,204/86,018
  6. Step 6: Final answer
    x = 392,301.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.