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Finding the Third Proportional to 96,255 and 198,647

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Solution

The third proportional to 96,255 and 198,647 is: 409,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,255 : 198,647 = 198,647 : x
  2. Step 2: Convert to fraction form
    96,255/198,647 = 198,647/x
  3. Step 3: Cross multiply
    96,255x = 198,647 × 198,647
  4. Step 4: Simplify right side
    96,255x = 39,460,630,609
  5. Step 5: Solve for x
    x = 39,460,630,609/96,255
  6. Step 6: Final answer
    x = 409,959.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.