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Finding the Third Proportional to 98,599 and 214,811

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Solution

The third proportional to 98,599 and 214,811 is: 467,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,599 : 214,811 = 214,811 : x
  2. Step 2: Convert to fraction form
    98,599/214,811 = 214,811/x
  3. Step 3: Cross multiply
    98,599x = 214,811 × 214,811
  4. Step 4: Simplify right side
    98,599x = 46,143,765,721
  5. Step 5: Solve for x
    x = 46,143,765,721/98,599
  6. Step 6: Final answer
    x = 467,994.26

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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.