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Finding the Third Proportional to 99,600 and 214,304

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Solution

The third proportional to 99,600 and 214,304 is: 461,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,600 : 214,304 = 214,304 : x
  2. Step 2: Convert to fraction form
    99,600/214,304 = 214,304/x
  3. Step 3: Cross multiply
    99,600x = 214,304 × 214,304
  4. Step 4: Simplify right side
    99,600x = 45,926,204,416
  5. Step 5: Solve for x
    x = 45,926,204,416/99,600
  6. Step 6: Final answer
    x = 461,106.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.