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Finding the Third Proportional to 96,550 and 201,922

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Solution

The third proportional to 96,550 and 201,922 is: 422,294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,550 : 201,922 = 201,922 : x
  2. Step 2: Convert to fraction form
    96,550/201,922 = 201,922/x
  3. Step 3: Cross multiply
    96,550x = 201,922 × 201,922
  4. Step 4: Simplify right side
    96,550x = 40,772,494,084
  5. Step 5: Solve for x
    x = 40,772,494,084/96,550
  6. Step 6: Final answer
    x = 422,294.09

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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.