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Finding the Third Proportional to 107,770.97 and 254,046.16

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Solution

The third proportional to 107,770.97 and 254,046.16 is: 598,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,770.97 : 254,046.16 = 254,046.16 : x
  2. Step 2: Convert to fraction form
    107,770.97/254,046.16 = 254,046.16/x
  3. Step 3: Cross multiply
    107,770.97x = 254,046.16 × 254,046.16
  4. Step 4: Simplify right side
    107,770.97x = 64,539,449,505.40
  5. Step 5: Solve for x
    x = 64,539,449,505.40/107,770.97
  6. Step 6: Final answer
    x = 598,857.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.