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Finding the Third Proportional to 95,670 and 208,563

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Solution

The third proportional to 95,670 and 208,563 is: 454,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,670 : 208,563 = 208,563 : x
  2. Step 2: Convert to fraction form
    95,670/208,563 = 208,563/x
  3. Step 3: Cross multiply
    95,670x = 208,563 × 208,563
  4. Step 4: Simplify right side
    95,670x = 43,498,524,969
  5. Step 5: Solve for x
    x = 43,498,524,969/95,670
  6. Step 6: Final answer
    x = 454,672.57

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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.