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Finding the Third Proportional to 89,760 and 188,808

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Solution

The third proportional to 89,760 and 188,808 is: 397,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,760 : 188,808 = 188,808 : x
  2. Step 2: Convert to fraction form
    89,760/188,808 = 188,808/x
  3. Step 3: Cross multiply
    89,760x = 188,808 × 188,808
  4. Step 4: Simplify right side
    89,760x = 35,648,460,864
  5. Step 5: Solve for x
    x = 35,648,460,864/89,760
  6. Step 6: Final answer
    x = 397,153.08

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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.