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Finding the Third Proportional to 188,910.56 and 399,141.84

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Solution

The third proportional to 188,910.56 and 399,141.84 is: 843,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,910.56 : 399,141.84 = 399,141.84 : x
  2. Step 2: Convert to fraction form
    188,910.56/399,141.84 = 399,141.84/x
  3. Step 3: Cross multiply
    188,910.56x = 399,141.84 × 399,141.84
  4. Step 4: Simplify right side
    188,910.56x = 159,314,211,432.15
  5. Step 5: Solve for x
    x = 159,314,211,432.15/188,910.56
  6. Step 6: Final answer
    x = 843,331.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.