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Finding the Third Proportional to 105,619.06 and 227,827.94

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Solution

The third proportional to 105,619.06 and 227,827.94 is: 491,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,619.06 : 227,827.94 = 227,827.94 : x
  2. Step 2: Convert to fraction form
    105,619.06/227,827.94 = 227,827.94/x
  3. Step 3: Cross multiply
    105,619.06x = 227,827.94 × 227,827.94
  4. Step 4: Simplify right side
    105,619.06x = 51,905,569,105.50
  5. Step 5: Solve for x
    x = 51,905,569,105.50/105,619.06
  6. Step 6: Final answer
    x = 491,441.30

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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.