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Finding the Third Proportional to 95,496 and 207,984

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Solution

The third proportional to 95,496 and 207,984 is: 452,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,496 : 207,984 = 207,984 : x
  2. Step 2: Convert to fraction form
    95,496/207,984 = 207,984/x
  3. Step 3: Cross multiply
    95,496x = 207,984 × 207,984
  4. Step 4: Simplify right side
    95,496x = 43,257,344,256
  5. Step 5: Solve for x
    x = 43,257,344,256/95,496
  6. Step 6: Final answer
    x = 452,975.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.