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Finding the Third Proportional to 40,363.50 and 109,806

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Solution

The third proportional to 40,363.50 and 109,806 is: 298,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,363.50 : 109,806 = 109,806 : x
  2. Step 2: Convert to fraction form
    40,363.50/109,806 = 109,806/x
  3. Step 3: Cross multiply
    40,363.50x = 109,806 × 109,806
  4. Step 4: Simplify right side
    40,363.50x = 12,057,357,636
  5. Step 5: Solve for x
    x = 12,057,357,636/40,363.50
  6. Step 6: Final answer
    x = 298,719.33

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.