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Finding the Third Proportional to 93,401 and 189,682

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Solution

The third proportional to 93,401 and 189,682 is: 385,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,401 : 189,682 = 189,682 : x
  2. Step 2: Convert to fraction form
    93,401/189,682 = 189,682/x
  3. Step 3: Cross multiply
    93,401x = 189,682 × 189,682
  4. Step 4: Simplify right side
    93,401x = 35,979,261,124
  5. Step 5: Solve for x
    x = 35,979,261,124/93,401
  6. Step 6: Final answer
    x = 385,212.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.