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Finding the Third Proportional to 42,287.06 and 91,951.45

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Solution

The third proportional to 42,287.06 and 91,951.45 is: 199,944.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,287.06 : 91,951.45 = 91,951.45 : x
  2. Step 2: Convert to fraction form
    42,287.06/91,951.45 = 91,951.45/x
  3. Step 3: Cross multiply
    42,287.06x = 91,951.45 × 91,951.45
  4. Step 4: Simplify right side
    42,287.06x = 8,455,069,731.80
  5. Step 5: Solve for x
    x = 8,455,069,731.80/42,287.06
  6. Step 6: Final answer
    x = 199,944.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.