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Finding the Third Proportional to 89,800 and 188,900

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Solution

The third proportional to 89,800 and 188,900 is: 397,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,800 : 188,900 = 188,900 : x
  2. Step 2: Convert to fraction form
    89,800/188,900 = 188,900/x
  3. Step 3: Cross multiply
    89,800x = 188,900 × 188,900
  4. Step 4: Simplify right side
    89,800x = 35,683,210,000
  5. Step 5: Solve for x
    x = 35,683,210,000/89,800
  6. Step 6: Final answer
    x = 397,363.14

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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.