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Finding the Third Proportional to 91,573.50 and 190,162.50

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Solution

The third proportional to 91,573.50 and 190,162.50 is: 394,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,573.50 : 190,162.50 = 190,162.50 : x
  2. Step 2: Convert to fraction form
    91,573.50/190,162.50 = 190,162.50/x
  3. Step 3: Cross multiply
    91,573.50x = 190,162.50 × 190,162.50
  4. Step 4: Simplify right side
    91,573.50x = 36,161,776,406.25
  5. Step 5: Solve for x
    x = 36,161,776,406.25/91,573.50
  6. Step 6: Final answer
    x = 394,893.46

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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.