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Finding the Third Proportional to 84,314 and 195,197

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Solution

The third proportional to 84,314 and 195,197 is: 451,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,314 : 195,197 = 195,197 : x
  2. Step 2: Convert to fraction form
    84,314/195,197 = 195,197/x
  3. Step 3: Cross multiply
    84,314x = 195,197 × 195,197
  4. Step 4: Simplify right side
    84,314x = 38,101,868,809
  5. Step 5: Solve for x
    x = 38,101,868,809/84,314
  6. Step 6: Final answer
    x = 451,904.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.