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Finding the Third Proportional to 89,705 and 188,704

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Solution

The third proportional to 89,705 and 188,704 is: 396,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,705 : 188,704 = 188,704 : x
  2. Step 2: Convert to fraction form
    89,705/188,704 = 188,704/x
  3. Step 3: Cross multiply
    89,705x = 188,704 × 188,704
  4. Step 4: Simplify right side
    89,705x = 35,609,199,616
  5. Step 5: Solve for x
    x = 35,609,199,616/89,705
  6. Step 6: Final answer
    x = 396,958.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.