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Finding the Third Proportional to 91,215 and 131,989.50

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Solution

The third proportional to 91,215 and 131,989.50 is: 190,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,215 : 131,989.50 = 131,989.50 : x
  2. Step 2: Convert to fraction form
    91,215/131,989.50 = 131,989.50/x
  3. Step 3: Cross multiply
    91,215x = 131,989.50 × 131,989.50
  4. Step 4: Simplify right side
    91,215x = 17,421,228,110.25
  5. Step 5: Solve for x
    x = 17,421,228,110.25/91,215
  6. Step 6: Final answer
    x = 190,990.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.