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Finding the Third Proportional to 104,034.50 and 224,653.50

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Solution

The third proportional to 104,034.50 and 224,653.50 is: 485,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,034.50 : 224,653.50 = 224,653.50 : x
  2. Step 2: Convert to fraction form
    104,034.50/224,653.50 = 224,653.50/x
  3. Step 3: Cross multiply
    104,034.50x = 224,653.50 × 224,653.50
  4. Step 4: Simplify right side
    104,034.50x = 50,469,195,062.25
  5. Step 5: Solve for x
    x = 50,469,195,062.25/104,034.50
  6. Step 6: Final answer
    x = 485,119.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.