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Finding the Third Proportional to 139,919.50 and 221,914

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Solution

The third proportional to 139,919.50 and 221,914 is: 351,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,919.50 : 221,914 = 221,914 : x
  2. Step 2: Convert to fraction form
    139,919.50/221,914 = 221,914/x
  3. Step 3: Cross multiply
    139,919.50x = 221,914 × 221,914
  4. Step 4: Simplify right side
    139,919.50x = 49,245,823,396
  5. Step 5: Solve for x
    x = 49,245,823,396/139,919.50
  6. Step 6: Final answer
    x = 351,958.26

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.