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Finding the Third Proportional to 97,623 and 213,147

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Solution

The third proportional to 97,623 and 213,147 is: 465,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,623 : 213,147 = 213,147 : x
  2. Step 2: Convert to fraction form
    97,623/213,147 = 213,147/x
  3. Step 3: Cross multiply
    97,623x = 213,147 × 213,147
  4. Step 4: Simplify right side
    97,623x = 45,431,643,609
  5. Step 5: Solve for x
    x = 45,431,643,609/97,623
  6. Step 6: Final answer
    x = 465,378.48

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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.