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Finding the Third Proportional to 51,284.81 and 110,769.19

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Solution

The third proportional to 51,284.81 and 110,769.19 is: 239,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,284.81 : 110,769.19 = 110,769.19 : x
  2. Step 2: Convert to fraction form
    51,284.81/110,769.19 = 110,769.19/x
  3. Step 3: Cross multiply
    51,284.81x = 110,769.19 × 110,769.19
  4. Step 4: Simplify right side
    51,284.81x = 12,269,812,899.41
  5. Step 5: Solve for x
    x = 12,269,812,899.41/51,284.81
  6. Step 6: Final answer
    x = 239,248.47

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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.