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Finding the Third Proportional to 97,665 and 213,228

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Solution

The third proportional to 97,665 and 213,228 is: 465,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,665 : 213,228 = 213,228 : x
  2. Step 2: Convert to fraction form
    97,665/213,228 = 213,228/x
  3. Step 3: Cross multiply
    97,665x = 213,228 × 213,228
  4. Step 4: Simplify right side
    97,665x = 45,466,179,984
  5. Step 5: Solve for x
    x = 45,466,179,984/97,665
  6. Step 6: Final answer
    x = 465,531.97

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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.