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Finding the Third Proportional to 95,690 and 198,292

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Solution

The third proportional to 95,690 and 198,292 is: 410,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,690 : 198,292 = 198,292 : x
  2. Step 2: Convert to fraction form
    95,690/198,292 = 198,292/x
  3. Step 3: Cross multiply
    95,690x = 198,292 × 198,292
  4. Step 4: Simplify right side
    95,690x = 39,319,717,264
  5. Step 5: Solve for x
    x = 39,319,717,264/95,690
  6. Step 6: Final answer
    x = 410,907.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.