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Finding the Third Proportional to 83,910.94 and 182,579.06

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Solution

The third proportional to 83,910.94 and 182,579.06 is: 397,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,910.94 : 182,579.06 = 182,579.06 : x
  2. Step 2: Convert to fraction form
    83,910.94/182,579.06 = 182,579.06/x
  3. Step 3: Cross multiply
    83,910.94x = 182,579.06 × 182,579.06
  4. Step 4: Simplify right side
    83,910.94x = 33,335,114,063.38
  5. Step 5: Solve for x
    x = 33,335,114,063.38/83,910.94
  6. Step 6: Final answer
    x = 397,267.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.