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Finding the Third Proportional to 98,981 and 230,997

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Solution

The third proportional to 98,981 and 230,997 is: 539,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,981 : 230,997 = 230,997 : x
  2. Step 2: Convert to fraction form
    98,981/230,997 = 230,997/x
  3. Step 3: Cross multiply
    98,981x = 230,997 × 230,997
  4. Step 4: Simplify right side
    98,981x = 53,359,614,009
  5. Step 5: Solve for x
    x = 53,359,614,009/98,981
  6. Step 6: Final answer
    x = 539,089.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.