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Finding the Third Proportional to 49,979.50 and 106,431.50

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Solution

The third proportional to 49,979.50 and 106,431.50 is: 226,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,979.50 : 106,431.50 = 106,431.50 : x
  2. Step 2: Convert to fraction form
    49,979.50/106,431.50 = 106,431.50/x
  3. Step 3: Cross multiply
    49,979.50x = 106,431.50 × 106,431.50
  4. Step 4: Simplify right side
    49,979.50x = 11,327,664,192.25
  5. Step 5: Solve for x
    x = 11,327,664,192.25/49,979.50
  6. Step 6: Final answer
    x = 226,646.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.