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Finding the Third Proportional to 86,373 and 183,816

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Solution

The third proportional to 86,373 and 183,816 is: 391,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,373 : 183,816 = 183,816 : x
  2. Step 2: Convert to fraction form
    86,373/183,816 = 183,816/x
  3. Step 3: Cross multiply
    86,373x = 183,816 × 183,816
  4. Step 4: Simplify right side
    86,373x = 33,788,321,856
  5. Step 5: Solve for x
    x = 33,788,321,856/86,373
  6. Step 6: Final answer
    x = 391,190.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.