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Finding the Third Proportional to 96,551 and 201,929

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Solution

The third proportional to 96,551 and 201,929 is: 422,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,551 : 201,929 = 201,929 : x
  2. Step 2: Convert to fraction form
    96,551/201,929 = 201,929/x
  3. Step 3: Cross multiply
    96,551x = 201,929 × 201,929
  4. Step 4: Simplify right side
    96,551x = 40,775,321,041
  5. Step 5: Solve for x
    x = 40,775,321,041/96,551
  6. Step 6: Final answer
    x = 422,318.99

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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.