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Finding the Third Proportional to 96,556 and 201,933

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Solution

The third proportional to 96,556 and 201,933 is: 422,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,556 : 201,933 = 201,933 : x
  2. Step 2: Convert to fraction form
    96,556/201,933 = 201,933/x
  3. Step 3: Cross multiply
    96,556x = 201,933 × 201,933
  4. Step 4: Simplify right side
    96,556x = 40,776,936,489
  5. Step 5: Solve for x
    x = 40,776,936,489/96,556
  6. Step 6: Final answer
    x = 422,313.85

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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.