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Finding the Third Proportional to 47,650.50 and 105,099.75

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Solution

The third proportional to 47,650.50 and 105,099.75 is: 231,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650.50 : 105,099.75 = 105,099.75 : x
  2. Step 2: Convert to fraction form
    47,650.50/105,099.75 = 105,099.75/x
  3. Step 3: Cross multiply
    47,650.50x = 105,099.75 × 105,099.75
  4. Step 4: Simplify right side
    47,650.50x = 11,045,957,450.06
  5. Step 5: Solve for x
    x = 11,045,957,450.06/47,650.50
  6. Step 6: Final answer
    x = 231,811.99

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.