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Finding the Third Proportional to 139,133.64 and 213,199.75

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Solution

The third proportional to 139,133.64 and 213,199.75 is: 326,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,133.64 : 213,199.75 = 213,199.75 : x
  2. Step 2: Convert to fraction form
    139,133.64/213,199.75 = 213,199.75/x
  3. Step 3: Cross multiply
    139,133.64x = 213,199.75 × 213,199.75
  4. Step 4: Simplify right side
    139,133.64x = 45,454,134,232.87
  5. Step 5: Solve for x
    x = 45,454,134,232.87/139,133.64
  6. Step 6: Final answer
    x = 326,694.07

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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.