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Finding the Third Proportional to 104,262 and 227,639.50

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Solution

The third proportional to 104,262 and 227,639.50 is: 497,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,262 : 227,639.50 = 227,639.50 : x
  2. Step 2: Convert to fraction form
    104,262/227,639.50 = 227,639.50/x
  3. Step 3: Cross multiply
    104,262x = 227,639.50 × 227,639.50
  4. Step 4: Simplify right side
    104,262x = 51,819,741,960.25
  5. Step 5: Solve for x
    x = 51,819,741,960.25/104,262
  6. Step 6: Final answer
    x = 497,014.66

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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.