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Finding the Third Proportional to 107,102.25 and 235,226.53

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Solution

The third proportional to 107,102.25 and 235,226.53 is: 516,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.25 : 235,226.53 = 235,226.53 : x
  2. Step 2: Convert to fraction form
    107,102.25/235,226.53 = 235,226.53/x
  3. Step 3: Cross multiply
    107,102.25x = 235,226.53 × 235,226.53
  4. Step 4: Simplify right side
    107,102.25x = 55,331,521,003.91
  5. Step 5: Solve for x
    x = 55,331,521,003.91/107,102.25
  6. Step 6: Final answer
    x = 516,623.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.