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Finding the Third Proportional to 99,864 and 231,228

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Solution

The third proportional to 99,864 and 231,228 is: 535,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,864 : 231,228 = 231,228 : x
  2. Step 2: Convert to fraction form
    99,864/231,228 = 231,228/x
  3. Step 3: Cross multiply
    99,864x = 231,228 × 231,228
  4. Step 4: Simplify right side
    99,864x = 53,466,387,984
  5. Step 5: Solve for x
    x = 53,466,387,984/99,864
  6. Step 6: Final answer
    x = 535,392.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.