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Finding the Third Proportional to 103,708.69 and 226,188.56

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Solution

The third proportional to 103,708.69 and 226,188.56 is: 493,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,708.69 : 226,188.56 = 226,188.56 : x
  2. Step 2: Convert to fraction form
    103,708.69/226,188.56 = 226,188.56/x
  3. Step 3: Cross multiply
    103,708.69x = 226,188.56 × 226,188.56
  4. Step 4: Simplify right side
    103,708.69x = 51,161,265,805.82
  5. Step 5: Solve for x
    x = 51,161,265,805.82/103,708.69
  6. Step 6: Final answer
    x = 493,317.07

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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.