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Finding the Third Proportional to 84,218.06 and 182,600.44

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Solution

The third proportional to 84,218.06 and 182,600.44 is: 395,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218.06 : 182,600.44 = 182,600.44 : x
  2. Step 2: Convert to fraction form
    84,218.06/182,600.44 = 182,600.44/x
  3. Step 3: Cross multiply
    84,218.06x = 182,600.44 × 182,600.44
  4. Step 4: Simplify right side
    84,218.06x = 33,342,919,775.19
  5. Step 5: Solve for x
    x = 33,342,919,775.19/84,218.06
  6. Step 6: Final answer
    x = 395,911.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.