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Finding the Third Proportional to 104,449.50 and 227,812.50

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Solution

The third proportional to 104,449.50 and 227,812.50 is: 496,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,449.50 : 227,812.50 = 227,812.50 : x
  2. Step 2: Convert to fraction form
    104,449.50/227,812.50 = 227,812.50/x
  3. Step 3: Cross multiply
    104,449.50x = 227,812.50 × 227,812.50
  4. Step 4: Simplify right side
    104,449.50x = 51,898,535,156.25
  5. Step 5: Solve for x
    x = 51,898,535,156.25/104,449.50
  6. Step 6: Final answer
    x = 496,876.82

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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.