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Finding the Third Proportional to 97,608 and 199,824

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Solution

The third proportional to 97,608 and 199,824 is: 409,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,608 : 199,824 = 199,824 : x
  2. Step 2: Convert to fraction form
    97,608/199,824 = 199,824/x
  3. Step 3: Cross multiply
    97,608x = 199,824 × 199,824
  4. Step 4: Simplify right side
    97,608x = 39,929,630,976
  5. Step 5: Solve for x
    x = 39,929,630,976/97,608
  6. Step 6: Final answer
    x = 409,081.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.