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Finding the Third Proportional to 96,971 and 207,766

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Solution

The third proportional to 96,971 and 207,766 is: 445,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,971 : 207,766 = 207,766 : x
  2. Step 2: Convert to fraction form
    96,971/207,766 = 207,766/x
  3. Step 3: Cross multiply
    96,971x = 207,766 × 207,766
  4. Step 4: Simplify right side
    96,971x = 43,166,710,756
  5. Step 5: Solve for x
    x = 43,166,710,756/96,971
  6. Step 6: Final answer
    x = 445,150.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.