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Finding the Third Proportional to 93,800 and 199,902

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Solution

The third proportional to 93,800 and 199,902 is: 426,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,800 : 199,902 = 199,902 : x
  2. Step 2: Convert to fraction form
    93,800/199,902 = 199,902/x
  3. Step 3: Cross multiply
    93,800x = 199,902 × 199,902
  4. Step 4: Simplify right side
    93,800x = 39,960,809,604
  5. Step 5: Solve for x
    x = 39,960,809,604/93,800
  6. Step 6: Final answer
    x = 426,021.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.