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Finding the Third Proportional to 97,635 and 197,986

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Solution

The third proportional to 97,635 and 197,986 is: 401,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,635 : 197,986 = 197,986 : x
  2. Step 2: Convert to fraction form
    97,635/197,986 = 197,986/x
  3. Step 3: Cross multiply
    97,635x = 197,986 × 197,986
  4. Step 4: Simplify right side
    97,635x = 39,198,456,196
  5. Step 5: Solve for x
    x = 39,198,456,196/97,635
  6. Step 6: Final answer
    x = 401,479.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.