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Finding the Third Proportional to 95,638 and 208,772

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Solution

The third proportional to 95,638 and 208,772 is: 455,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,638 : 208,772 = 208,772 : x
  2. Step 2: Convert to fraction form
    95,638/208,772 = 208,772/x
  3. Step 3: Cross multiply
    95,638x = 208,772 × 208,772
  4. Step 4: Simplify right side
    95,638x = 43,585,747,984
  5. Step 5: Solve for x
    x = 43,585,747,984/95,638
  6. Step 6: Final answer
    x = 455,736.72

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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.