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Finding the Third Proportional to 97,635 and 213,996

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Solution

The third proportional to 97,635 and 213,996 is: 469,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,635 : 213,996 = 213,996 : x
  2. Step 2: Convert to fraction form
    97,635/213,996 = 213,996/x
  3. Step 3: Cross multiply
    97,635x = 213,996 × 213,996
  4. Step 4: Simplify right side
    97,635x = 45,794,288,016
  5. Step 5: Solve for x
    x = 45,794,288,016/97,635
  6. Step 6: Final answer
    x = 469,035.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.