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Finding the Third Proportional to 96,548 and 201,918

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Solution

The third proportional to 96,548 and 201,918 is: 422,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,548 : 201,918 = 201,918 : x
  2. Step 2: Convert to fraction form
    96,548/201,918 = 201,918/x
  3. Step 3: Cross multiply
    96,548x = 201,918 × 201,918
  4. Step 4: Simplify right side
    96,548x = 40,770,878,724
  5. Step 5: Solve for x
    x = 40,770,878,724/96,548
  6. Step 6: Final answer
    x = 422,286.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.