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Finding the Third Proportional to 42,819.75 and 90,255.38

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Solution

The third proportional to 42,819.75 and 90,255.38 is: 190,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,819.75 : 90,255.38 = 90,255.38 : x
  2. Step 2: Convert to fraction form
    42,819.75/90,255.38 = 90,255.38/x
  3. Step 3: Cross multiply
    42,819.75x = 90,255.38 × 90,255.38
  4. Step 4: Simplify right side
    42,819.75x = 8,146,032,716.39
  5. Step 5: Solve for x
    x = 8,146,032,716.39/42,819.75
  6. Step 6: Final answer
    x = 190,240.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.