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Finding the Third Proportional to 91,113.75 and 191,441.25

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Solution

The third proportional to 91,113.75 and 191,441.25 is: 402,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,113.75 : 191,441.25 = 191,441.25 : x
  2. Step 2: Convert to fraction form
    91,113.75/191,441.25 = 191,441.25/x
  3. Step 3: Cross multiply
    91,113.75x = 191,441.25 × 191,441.25
  4. Step 4: Simplify right side
    91,113.75x = 36,649,752,201.56
  5. Step 5: Solve for x
    x = 36,649,752,201.56/91,113.75
  6. Step 6: Final answer
    x = 402,241.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.