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Finding the Third Proportional to 94,931 and 208,809

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Solution

The third proportional to 94,931 and 208,809 is: 459,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,931 : 208,809 = 208,809 : x
  2. Step 2: Convert to fraction form
    94,931/208,809 = 208,809/x
  3. Step 3: Cross multiply
    94,931x = 208,809 × 208,809
  4. Step 4: Simplify right side
    94,931x = 43,601,198,481
  5. Step 5: Solve for x
    x = 43,601,198,481/94,931
  6. Step 6: Final answer
    x = 459,293.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.