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Finding the Third Proportional to 199,067.63 and 433,122.19

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Solution

The third proportional to 199,067.63 and 433,122.19 is: 942,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,067.63 : 433,122.19 = 433,122.19 : x
  2. Step 2: Convert to fraction form
    199,067.63/433,122.19 = 433,122.19/x
  3. Step 3: Cross multiply
    199,067.63x = 433,122.19 × 433,122.19
  4. Step 4: Simplify right side
    199,067.63x = 187,594,829,304.79
  5. Step 5: Solve for x
    x = 187,594,829,304.79/199,067.63
  6. Step 6: Final answer
    x = 942,367.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.