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Finding the Third Proportional to 84,841.31 and 167,540.63

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Solution

The third proportional to 84,841.31 and 167,540.63 is: 330,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,841.31 : 167,540.63 = 167,540.63 : x
  2. Step 2: Convert to fraction form
    84,841.31/167,540.63 = 167,540.63/x
  3. Step 3: Cross multiply
    84,841.31x = 167,540.63 × 167,540.63
  4. Step 4: Simplify right side
    84,841.31x = 28,069,861,025.39
  5. Step 5: Solve for x
    x = 28,069,861,025.39/84,841.31
  6. Step 6: Final answer
    x = 330,851.33

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.