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Finding the Third Proportional to 42,202.69 and 90,604.69

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Solution

The third proportional to 42,202.69 and 90,604.69 is: 194,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,202.69 : 90,604.69 = 90,604.69 : x
  2. Step 2: Convert to fraction form
    42,202.69/90,604.69 = 90,604.69/x
  3. Step 3: Cross multiply
    42,202.69x = 90,604.69 × 90,604.69
  4. Step 4: Simplify right side
    42,202.69x = 8,209,209,396.97
  5. Step 5: Solve for x
    x = 8,209,209,396.97/42,202.69
  6. Step 6: Final answer
    x = 194,518.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.