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Finding the Third Proportional to 103,016.81 and 217,287.56

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Solution

The third proportional to 103,016.81 and 217,287.56 is: 458,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,016.81 : 217,287.56 = 217,287.56 : x
  2. Step 2: Convert to fraction form
    103,016.81/217,287.56 = 217,287.56/x
  3. Step 3: Cross multiply
    103,016.81x = 217,287.56 × 217,287.56
  4. Step 4: Simplify right side
    103,016.81x = 47,213,884,817.19
  5. Step 5: Solve for x
    x = 47,213,884,817.19/103,016.81
  6. Step 6: Final answer
    x = 458,312.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.