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Finding the Third Proportional to 93,676 and 200,468

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Solution

The third proportional to 93,676 and 200,468 is: 429,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,676 : 200,468 = 200,468 : x
  2. Step 2: Convert to fraction form
    93,676/200,468 = 200,468/x
  3. Step 3: Cross multiply
    93,676x = 200,468 × 200,468
  4. Step 4: Simplify right side
    93,676x = 40,187,419,024
  5. Step 5: Solve for x
    x = 40,187,419,024/93,676
  6. Step 6: Final answer
    x = 429,004.43

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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.