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Finding the Third Proportional to 93,274 and 199,846

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Solution

The third proportional to 93,274 and 199,846 is: 428,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,274 : 199,846 = 199,846 : x
  2. Step 2: Convert to fraction form
    93,274/199,846 = 199,846/x
  3. Step 3: Cross multiply
    93,274x = 199,846 × 199,846
  4. Step 4: Simplify right side
    93,274x = 39,938,423,716
  5. Step 5: Solve for x
    x = 39,938,423,716/93,274
  6. Step 6: Final answer
    x = 428,183.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.