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Finding the Third Proportional to 89,718 and 188,736

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Solution

The third proportional to 89,718 and 188,736 is: 397,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,718 : 188,736 = 188,736 : x
  2. Step 2: Convert to fraction form
    89,718/188,736 = 188,736/x
  3. Step 3: Cross multiply
    89,718x = 188,736 × 188,736
  4. Step 4: Simplify right side
    89,718x = 35,621,277,696
  5. Step 5: Solve for x
    x = 35,621,277,696/89,718
  6. Step 6: Final answer
    x = 397,036.02

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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.