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Finding the Third Proportional to 96,771 and 197,430

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Solution

The third proportional to 96,771 and 197,430 is: 402,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,771 : 197,430 = 197,430 : x
  2. Step 2: Convert to fraction form
    96,771/197,430 = 197,430/x
  3. Step 3: Cross multiply
    96,771x = 197,430 × 197,430
  4. Step 4: Simplify right side
    96,771x = 38,978,604,900
  5. Step 5: Solve for x
    x = 38,978,604,900/96,771
  6. Step 6: Final answer
    x = 402,792.21

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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.