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Finding the Third Proportional to 95,628 and 199,128

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Solution

The third proportional to 95,628 and 199,128 is: 414,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,628 : 199,128 = 199,128 : x
  2. Step 2: Convert to fraction form
    95,628/199,128 = 199,128/x
  3. Step 3: Cross multiply
    95,628x = 199,128 × 199,128
  4. Step 4: Simplify right side
    95,628x = 39,651,960,384
  5. Step 5: Solve for x
    x = 39,651,960,384/95,628
  6. Step 6: Final answer
    x = 414,648.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.