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Finding the Third Proportional to 93,843 and 195,451

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Solution

The third proportional to 93,843 and 195,451 is: 407,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,843 : 195,451 = 195,451 : x
  2. Step 2: Convert to fraction form
    93,843/195,451 = 195,451/x
  3. Step 3: Cross multiply
    93,843x = 195,451 × 195,451
  4. Step 4: Simplify right side
    93,843x = 38,201,093,401
  5. Step 5: Solve for x
    x = 38,201,093,401/93,843
  6. Step 6: Final answer
    x = 407,074.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.