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Finding the Third Proportional to 188,859.94 and 405,673.31

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Solution

The third proportional to 188,859.94 and 405,673.31 is: 871,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,859.94 : 405,673.31 = 405,673.31 : x
  2. Step 2: Convert to fraction form
    188,859.94/405,673.31 = 405,673.31/x
  3. Step 3: Cross multiply
    188,859.94x = 405,673.31 × 405,673.31
  4. Step 4: Simplify right side
    188,859.94x = 164,570,836,474.72
  5. Step 5: Solve for x
    x = 164,570,836,474.72/188,859.94
  6. Step 6: Final answer
    x = 871,390.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.