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Finding the Third Proportional to 139,150.69 and 208,361.81

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Solution

The third proportional to 139,150.69 and 208,361.81 is: 311,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,150.69 : 208,361.81 = 208,361.81 : x
  2. Step 2: Convert to fraction form
    139,150.69/208,361.81 = 208,361.81/x
  3. Step 3: Cross multiply
    139,150.69x = 208,361.81 × 208,361.81
  4. Step 4: Simplify right side
    139,150.69x = 43,414,644,908.29
  5. Step 5: Solve for x
    x = 43,414,644,908.29/139,150.69
  6. Step 6: Final answer
    x = 311,997.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.