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Finding the Third Proportional to 89,808 and 188,913

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Solution

The third proportional to 89,808 and 188,913 is: 397,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,808 : 188,913 = 188,913 : x
  2. Step 2: Convert to fraction form
    89,808/188,913 = 188,913/x
  3. Step 3: Cross multiply
    89,808x = 188,913 × 188,913
  4. Step 4: Simplify right side
    89,808x = 35,688,121,569
  5. Step 5: Solve for x
    x = 35,688,121,569/89,808
  6. Step 6: Final answer
    x = 397,382.43

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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.