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Finding the Third Proportional to 41,353.17 and 89,706.38

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Solution

The third proportional to 41,353.17 and 89,706.38 is: 194,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,353.17 : 89,706.38 = 89,706.38 : x
  2. Step 2: Convert to fraction form
    41,353.17/89,706.38 = 89,706.38/x
  3. Step 3: Cross multiply
    41,353.17x = 89,706.38 × 89,706.38
  4. Step 4: Simplify right side
    41,353.17x = 8,047,233,715.64
  5. Step 5: Solve for x
    x = 8,047,233,715.64/41,353.17
  6. Step 6: Final answer
    x = 194,597.74

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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.