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Finding the Third Proportional to 95,916 and 208,632

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Solution

The third proportional to 95,916 and 208,632 is: 453,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,916 : 208,632 = 208,632 : x
  2. Step 2: Convert to fraction form
    95,916/208,632 = 208,632/x
  3. Step 3: Cross multiply
    95,916x = 208,632 × 208,632
  4. Step 4: Simplify right side
    95,916x = 43,527,311,424
  5. Step 5: Solve for x
    x = 43,527,311,424/95,916
  6. Step 6: Final answer
    x = 453,806.57

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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.