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Finding the Third Proportional to 40,869.56 and 89,143.03

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Solution

The third proportional to 40,869.56 and 89,143.03 is: 194,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,869.56 : 89,143.03 = 89,143.03 : x
  2. Step 2: Convert to fraction form
    40,869.56/89,143.03 = 89,143.03/x
  3. Step 3: Cross multiply
    40,869.56x = 89,143.03 × 89,143.03
  4. Step 4: Simplify right side
    40,869.56x = 7,946,480,020.44
  5. Step 5: Solve for x
    x = 7,946,480,020.44/40,869.56
  6. Step 6: Final answer
    x = 194,435.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.