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Finding the Third Proportional to 139,866.75 and 221,811.19

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Solution

The third proportional to 139,866.75 and 221,811.19 is: 351,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,866.75 : 221,811.19 = 221,811.19 : x
  2. Step 2: Convert to fraction form
    139,866.75/221,811.19 = 221,811.19/x
  3. Step 3: Cross multiply
    139,866.75x = 221,811.19 × 221,811.19
  4. Step 4: Simplify right side
    139,866.75x = 49,200,202,900.16
  5. Step 5: Solve for x
    x = 49,200,202,900.16/139,866.75
  6. Step 6: Final answer
    x = 351,764.83

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Why These Related Problems?

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