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Finding the Third Proportional to 95,332 and 188,268

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Solution

The third proportional to 95,332 and 188,268 is: 371,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,332 : 188,268 = 188,268 : x
  2. Step 2: Convert to fraction form
    95,332/188,268 = 188,268/x
  3. Step 3: Cross multiply
    95,332x = 188,268 × 188,268
  4. Step 4: Simplify right side
    95,332x = 35,444,839,824
  5. Step 5: Solve for x
    x = 35,444,839,824/95,332
  6. Step 6: Final answer
    x = 371,804.22

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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.