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Finding the Third Proportional to 93,890 and 200,116

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Solution

The third proportional to 93,890 and 200,116 is: 426,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,890 : 200,116 = 200,116 : x
  2. Step 2: Convert to fraction form
    93,890/200,116 = 200,116/x
  3. Step 3: Cross multiply
    93,890x = 200,116 × 200,116
  4. Step 4: Simplify right side
    93,890x = 40,046,413,456
  5. Step 5: Solve for x
    x = 40,046,413,456/93,890
  6. Step 6: Final answer
    x = 426,524.80

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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.