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Finding the Third Proportional to 90,559.69 and 198,615.38

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Solution

The third proportional to 90,559.69 and 198,615.38 is: 435,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,559.69 : 198,615.38 = 198,615.38 : x
  2. Step 2: Convert to fraction form
    90,559.69/198,615.38 = 198,615.38/x
  3. Step 3: Cross multiply
    90,559.69x = 198,615.38 × 198,615.38
  4. Step 4: Simplify right side
    90,559.69x = 39,448,067,186.39
  5. Step 5: Solve for x
    x = 39,448,067,186.39/90,559.69
  6. Step 6: Final answer
    x = 435,602.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.