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Finding the Third Proportional to 88,794 and 188,889

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Solution

The third proportional to 88,794 and 188,889 is: 401,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,794 : 188,889 = 188,889 : x
  2. Step 2: Convert to fraction form
    88,794/188,889 = 188,889/x
  3. Step 3: Cross multiply
    88,794x = 188,889 × 188,889
  4. Step 4: Simplify right side
    88,794x = 35,679,054,321
  5. Step 5: Solve for x
    x = 35,679,054,321/88,794
  6. Step 6: Final answer
    x = 401,818.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.