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Finding the Third Proportional to 49,389.75 and 106,273.69

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Solution

The third proportional to 49,389.75 and 106,273.69 is: 228,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,389.75 : 106,273.69 = 106,273.69 : x
  2. Step 2: Convert to fraction form
    49,389.75/106,273.69 = 106,273.69/x
  3. Step 3: Cross multiply
    49,389.75x = 106,273.69 × 106,273.69
  4. Step 4: Simplify right side
    49,389.75x = 11,294,096,654.85
  5. Step 5: Solve for x
    x = 11,294,096,654.85/49,389.75
  6. Step 6: Final answer
    x = 228,672.89

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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.