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Finding the Third Proportional to 40,766.63 and 89,812.13

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Solution

The third proportional to 40,766.63 and 89,812.13 is: 197,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,766.63 : 89,812.13 = 89,812.13 : x
  2. Step 2: Convert to fraction form
    40,766.63/89,812.13 = 89,812.13/x
  3. Step 3: Cross multiply
    40,766.63x = 89,812.13 × 89,812.13
  4. Step 4: Simplify right side
    40,766.63x = 8,066,217,797.02
  5. Step 5: Solve for x
    x = 8,066,217,797.02/40,766.63
  6. Step 6: Final answer
    x = 197,863.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.