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Finding the Third Proportional to 93,802 and 197,324

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Solution

The third proportional to 93,802 and 197,324 is: 415,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,802 : 197,324 = 197,324 : x
  2. Step 2: Convert to fraction form
    93,802/197,324 = 197,324/x
  3. Step 3: Cross multiply
    93,802x = 197,324 × 197,324
  4. Step 4: Simplify right side
    93,802x = 38,936,760,976
  5. Step 5: Solve for x
    x = 38,936,760,976/93,802
  6. Step 6: Final answer
    x = 415,095.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.