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Finding the Third Proportional to 98,966 and 215,694

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Solution

The third proportional to 98,966 and 215,694 is: 470,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966 : 215,694 = 215,694 : x
  2. Step 2: Convert to fraction form
    98,966/215,694 = 215,694/x
  3. Step 3: Cross multiply
    98,966x = 215,694 × 215,694
  4. Step 4: Simplify right side
    98,966x = 46,523,901,636
  5. Step 5: Solve for x
    x = 46,523,901,636/98,966
  6. Step 6: Final answer
    x = 470,099.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.