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Finding the Third Proportional to 95,216 and 208,767

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Solution

The third proportional to 95,216 and 208,767 is: 457,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,216 : 208,767 = 208,767 : x
  2. Step 2: Convert to fraction form
    95,216/208,767 = 208,767/x
  3. Step 3: Cross multiply
    95,216x = 208,767 × 208,767
  4. Step 4: Simplify right side
    95,216x = 43,583,660,289
  5. Step 5: Solve for x
    x = 43,583,660,289/95,216
  6. Step 6: Final answer
    x = 457,734.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.