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Finding the Third Proportional to 40,694.91 and 84,508.31

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Solution

The third proportional to 40,694.91 and 84,508.31 is: 175,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,694.91 : 84,508.31 = 84,508.31 : x
  2. Step 2: Convert to fraction form
    40,694.91/84,508.31 = 84,508.31/x
  3. Step 3: Cross multiply
    40,694.91x = 84,508.31 × 84,508.31
  4. Step 4: Simplify right side
    40,694.91x = 7,141,654,881.60
  5. Step 5: Solve for x
    x = 7,141,654,881.60/40,694.91
  6. Step 6: Final answer
    x = 175,492.60

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.