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Finding the Third Proportional to 88,646 and 195,268

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Solution

The third proportional to 88,646 and 195,268 is: 430,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,646 : 195,268 = 195,268 : x
  2. Step 2: Convert to fraction form
    88,646/195,268 = 195,268/x
  3. Step 3: Cross multiply
    88,646x = 195,268 × 195,268
  4. Step 4: Simplify right side
    88,646x = 38,129,591,824
  5. Step 5: Solve for x
    x = 38,129,591,824/88,646
  6. Step 6: Final answer
    x = 430,133.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.