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Finding the Third Proportional to 80,369.72 and 172,836.56

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Solution

The third proportional to 80,369.72 and 172,836.56 is: 371,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,369.72 : 172,836.56 = 172,836.56 : x
  2. Step 2: Convert to fraction form
    80,369.72/172,836.56 = 172,836.56/x
  3. Step 3: Cross multiply
    80,369.72x = 172,836.56 × 172,836.56
  4. Step 4: Simplify right side
    80,369.72x = 29,872,477,336.82
  5. Step 5: Solve for x
    x = 29,872,477,336.82/80,369.72
  6. Step 6: Final answer
    x = 371,688.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.