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Finding the Third Proportional to 37,387.83 and 78,997.78

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Solution

The third proportional to 37,387.83 and 78,997.78 is: 166,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,387.83 : 78,997.78 = 78,997.78 : x
  2. Step 2: Convert to fraction form
    37,387.83/78,997.78 = 78,997.78/x
  3. Step 3: Cross multiply
    37,387.83x = 78,997.78 × 78,997.78
  4. Step 4: Simplify right side
    37,387.83x = 6,240,649,442.42
  5. Step 5: Solve for x
    x = 6,240,649,442.42/37,387.83
  6. Step 6: Final answer
    x = 166,916.61

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.