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Finding the Third Proportional to 96,532 and 204,716

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Solution

The third proportional to 96,532 and 204,716 is: 434,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,532 : 204,716 = 204,716 : x
  2. Step 2: Convert to fraction form
    96,532/204,716 = 204,716/x
  3. Step 3: Cross multiply
    96,532x = 204,716 × 204,716
  4. Step 4: Simplify right side
    96,532x = 41,908,640,656
  5. Step 5: Solve for x
    x = 41,908,640,656/96,532
  6. Step 6: Final answer
    x = 434,142.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.