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Finding the Third Proportional to 96,940 and 197,444

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Solution

The third proportional to 96,940 and 197,444 is: 402,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,940 : 197,444 = 197,444 : x
  2. Step 2: Convert to fraction form
    96,940/197,444 = 197,444/x
  3. Step 3: Cross multiply
    96,940x = 197,444 × 197,444
  4. Step 4: Simplify right side
    96,940x = 38,984,133,136
  5. Step 5: Solve for x
    x = 38,984,133,136/96,940
  6. Step 6: Final answer
    x = 402,147.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.