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Finding the Third Proportional to 49,801.50 and 107,900

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Solution

The third proportional to 49,801.50 and 107,900 is: 233,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801.50 : 107,900 = 107,900 : x
  2. Step 2: Convert to fraction form
    49,801.50/107,900 = 107,900/x
  3. Step 3: Cross multiply
    49,801.50x = 107,900 × 107,900
  4. Step 4: Simplify right side
    49,801.50x = 11,642,410,000
  5. Step 5: Solve for x
    x = 11,642,410,000/49,801.50
  6. Step 6: Final answer
    x = 233,776.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.