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Finding the Third Proportional to 36,680.34 and 80,369.72

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Solution

The third proportional to 36,680.34 and 80,369.72 is: 176,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,680.34 : 80,369.72 = 80,369.72 : x
  2. Step 2: Convert to fraction form
    36,680.34/80,369.72 = 80,369.72/x
  3. Step 3: Cross multiply
    36,680.34x = 80,369.72 × 80,369.72
  4. Step 4: Simplify right side
    36,680.34x = 6,459,291,691.95
  5. Step 5: Solve for x
    x = 6,459,291,691.95/36,680.34
  6. Step 6: Final answer
    x = 176,096.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.