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Finding the Third Proportional to 90,922.50 and 188,770.50

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Solution

The third proportional to 90,922.50 and 188,770.50 is: 391,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,922.50 : 188,770.50 = 188,770.50 : x
  2. Step 2: Convert to fraction form
    90,922.50/188,770.50 = 188,770.50/x
  3. Step 3: Cross multiply
    90,922.50x = 188,770.50 × 188,770.50
  4. Step 4: Simplify right side
    90,922.50x = 35,634,301,670.25
  5. Step 5: Solve for x
    x = 35,634,301,670.25/90,922.50
  6. Step 6: Final answer
    x = 391,919.51

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.