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Finding the Third Proportional to 96,613 and 207,512

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Solution

The third proportional to 96,613 and 207,512 is: 445,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,613 : 207,512 = 207,512 : x
  2. Step 2: Convert to fraction form
    96,613/207,512 = 207,512/x
  3. Step 3: Cross multiply
    96,613x = 207,512 × 207,512
  4. Step 4: Simplify right side
    96,613x = 43,061,230,144
  5. Step 5: Solve for x
    x = 43,061,230,144/96,613
  6. Step 6: Final answer
    x = 445,708.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.