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Finding the Third Proportional to 89,310.50 and 190,903

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Solution

The third proportional to 89,310.50 and 190,903 is: 408,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,310.50 : 190,903 = 190,903 : x
  2. Step 2: Convert to fraction form
    89,310.50/190,903 = 190,903/x
  3. Step 3: Cross multiply
    89,310.50x = 190,903 × 190,903
  4. Step 4: Simplify right side
    89,310.50x = 36,443,955,409
  5. Step 5: Solve for x
    x = 36,443,955,409/89,310.50
  6. Step 6: Final answer
    x = 408,059.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.