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Finding the Third Proportional to 94,686 and 206,319

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Solution

The third proportional to 94,686 and 206,319 is: 449,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,686 : 206,319 = 206,319 : x
  2. Step 2: Convert to fraction form
    94,686/206,319 = 206,319/x
  3. Step 3: Cross multiply
    94,686x = 206,319 × 206,319
  4. Step 4: Simplify right side
    94,686x = 42,567,529,761
  5. Step 5: Solve for x
    x = 42,567,529,761/94,686
  6. Step 6: Final answer
    x = 449,565.19

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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.