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Finding the Third Proportional to 88,802 and 190,198

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Solution

The third proportional to 88,802 and 190,198 is: 407,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,802 : 190,198 = 190,198 : x
  2. Step 2: Convert to fraction form
    88,802/190,198 = 190,198/x
  3. Step 3: Cross multiply
    88,802x = 190,198 × 190,198
  4. Step 4: Simplify right side
    88,802x = 36,175,279,204
  5. Step 5: Solve for x
    x = 36,175,279,204/88,802
  6. Step 6: Final answer
    x = 407,370.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.