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Finding the Third Proportional to 97,591 and 213,032

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Solution

The third proportional to 97,591 and 213,032 is: 465,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,591 : 213,032 = 213,032 : x
  2. Step 2: Convert to fraction form
    97,591/213,032 = 213,032/x
  3. Step 3: Cross multiply
    97,591x = 213,032 × 213,032
  4. Step 4: Simplify right side
    97,591x = 45,382,633,024
  5. Step 5: Solve for x
    x = 45,382,633,024/97,591
  6. Step 6: Final answer
    x = 465,028.88

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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.