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Finding the Third Proportional to 106,438.50 and 147,993.75

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Solution

The third proportional to 106,438.50 and 147,993.75 is: 205,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438.50 : 147,993.75 = 147,993.75 : x
  2. Step 2: Convert to fraction form
    106,438.50/147,993.75 = 147,993.75/x
  3. Step 3: Cross multiply
    106,438.50x = 147,993.75 × 147,993.75
  4. Step 4: Simplify right side
    106,438.50x = 21,902,150,039.06
  5. Step 5: Solve for x
    x = 21,902,150,039.06/106,438.50
  6. Step 6: Final answer
    x = 205,772.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.