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Finding the Third Proportional to 139,800.50 and 213,766.75

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Solution

The third proportional to 139,800.50 and 213,766.75 is: 326,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,800.50 : 213,766.75 = 213,766.75 : x
  2. Step 2: Convert to fraction form
    139,800.50/213,766.75 = 213,766.75/x
  3. Step 3: Cross multiply
    139,800.50x = 213,766.75 × 213,766.75
  4. Step 4: Simplify right side
    139,800.50x = 45,696,223,405.56
  5. Step 5: Solve for x
    x = 45,696,223,405.56/139,800.50
  6. Step 6: Final answer
    x = 326,867.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.