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Finding the Third Proportional to 56,309.91 and 100,099.30

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Solution

The third proportional to 56,309.91 and 100,099.30 is: 177,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,309.91 : 100,099.30 = 100,099.30 : x
  2. Step 2: Convert to fraction form
    56,309.91/100,099.30 = 100,099.30/x
  3. Step 3: Cross multiply
    56,309.91x = 100,099.30 × 100,099.30
  4. Step 4: Simplify right side
    56,309.91x = 10,019,869,796.95
  5. Step 5: Solve for x
    x = 10,019,869,796.95/56,309.91
  6. Step 6: Final answer
    x = 177,941.50

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.