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Finding the Third Proportional to 41,389.31 and 89,980.88

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Solution

The third proportional to 41,389.31 and 89,980.88 is: 195,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,389.31 : 89,980.88 = 89,980.88 : x
  2. Step 2: Convert to fraction form
    41,389.31/89,980.88 = 89,980.88/x
  3. Step 3: Cross multiply
    41,389.31x = 89,980.88 × 89,980.88
  4. Step 4: Simplify right side
    41,389.31x = 8,096,557,865.77
  5. Step 5: Solve for x
    x = 8,096,557,865.77/41,389.31
  6. Step 6: Final answer
    x = 195,619.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.