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Finding the Third Proportional to 95,388 and 188,374

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Solution

The third proportional to 95,388 and 188,374 is: 372,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,388 : 188,374 = 188,374 : x
  2. Step 2: Convert to fraction form
    95,388/188,374 = 188,374/x
  3. Step 3: Cross multiply
    95,388x = 188,374 × 188,374
  4. Step 4: Simplify right side
    95,388x = 35,484,763,876
  5. Step 5: Solve for x
    x = 35,484,763,876/95,388
  6. Step 6: Final answer
    x = 372,004.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.