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Finding the Third Proportional to 88,671 and 188,844

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Solution

The third proportional to 88,671 and 188,844 is: 402,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,671 : 188,844 = 188,844 : x
  2. Step 2: Convert to fraction form
    88,671/188,844 = 188,844/x
  3. Step 3: Cross multiply
    88,671x = 188,844 × 188,844
  4. Step 4: Simplify right side
    88,671x = 35,662,056,336
  5. Step 5: Solve for x
    x = 35,662,056,336/88,671
  6. Step 6: Final answer
    x = 402,183.99

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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.