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Finding the Third Proportional to 51,201.50 and 108,243.88

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Solution

The third proportional to 51,201.50 and 108,243.88 is: 228,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.50 : 108,243.88 = 108,243.88 : x
  2. Step 2: Convert to fraction form
    51,201.50/108,243.88 = 108,243.88/x
  3. Step 3: Cross multiply
    51,201.50x = 108,243.88 × 108,243.88
  4. Step 4: Simplify right side
    51,201.50x = 11,716,736,475.02
  5. Step 5: Solve for x
    x = 11,716,736,475.02/51,201.50
  6. Step 6: Final answer
    x = 228,835.81

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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.