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Finding the Third Proportional to 89,802 and 188,901

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Solution

The third proportional to 89,802 and 188,901 is: 397,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,802 : 188,901 = 188,901 : x
  2. Step 2: Convert to fraction form
    89,802/188,901 = 188,901/x
  3. Step 3: Cross multiply
    89,802x = 188,901 × 188,901
  4. Step 4: Simplify right side
    89,802x = 35,683,587,801
  5. Step 5: Solve for x
    x = 35,683,587,801/89,802
  6. Step 6: Final answer
    x = 397,358.50

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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.