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Finding the Third Proportional to 93,289 and 199,876

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Solution

The third proportional to 93,289 and 199,876 is: 428,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,289 : 199,876 = 199,876 : x
  2. Step 2: Convert to fraction form
    93,289/199,876 = 199,876/x
  3. Step 3: Cross multiply
    93,289x = 199,876 × 199,876
  4. Step 4: Simplify right side
    93,289x = 39,950,415,376
  5. Step 5: Solve for x
    x = 39,950,415,376/93,289
  6. Step 6: Final answer
    x = 428,243.58

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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.