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Finding the Third Proportional to 93,625 and 200,372

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Solution

The third proportional to 93,625 and 200,372 is: 428,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,625 : 200,372 = 200,372 : x
  2. Step 2: Convert to fraction form
    93,625/200,372 = 200,372/x
  3. Step 3: Cross multiply
    93,625x = 200,372 × 200,372
  4. Step 4: Simplify right side
    93,625x = 40,148,938,384
  5. Step 5: Solve for x
    x = 40,148,938,384/93,625
  6. Step 6: Final answer
    x = 428,827.11

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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.