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Finding the Third Proportional to 42,190.88 and 91,779.75

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Solution

The third proportional to 42,190.88 and 91,779.75 is: 199,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,190.88 : 91,779.75 = 91,779.75 : x
  2. Step 2: Convert to fraction form
    42,190.88/91,779.75 = 91,779.75/x
  3. Step 3: Cross multiply
    42,190.88x = 91,779.75 × 91,779.75
  4. Step 4: Simplify right side
    42,190.88x = 8,423,522,510.06
  5. Step 5: Solve for x
    x = 8,423,522,510.06/42,190.88
  6. Step 6: Final answer
    x = 199,652.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.