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Finding the Third Proportional to 88,067.25 and 196,304.63

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Solution

The third proportional to 88,067.25 and 196,304.63 is: 437,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,067.25 : 196,304.63 = 196,304.63 : x
  2. Step 2: Convert to fraction form
    88,067.25/196,304.63 = 196,304.63/x
  3. Step 3: Cross multiply
    88,067.25x = 196,304.63 × 196,304.63
  4. Step 4: Simplify right side
    88,067.25x = 38,535,505,796.39
  5. Step 5: Solve for x
    x = 38,535,505,796.39/88,067.25
  6. Step 6: Final answer
    x = 437,569.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.