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Finding the Third Proportional to 96,966 and 205,670

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Solution

The third proportional to 96,966 and 205,670 is: 436,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,966 : 205,670 = 205,670 : x
  2. Step 2: Convert to fraction form
    96,966/205,670 = 205,670/x
  3. Step 3: Cross multiply
    96,966x = 205,670 × 205,670
  4. Step 4: Simplify right side
    96,966x = 42,300,148,900
  5. Step 5: Solve for x
    x = 42,300,148,900/96,966
  6. Step 6: Final answer
    x = 436,236.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.