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Finding the Third Proportional to 107,313.75 and 233,310.94

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Solution

The third proportional to 107,313.75 and 233,310.94 is: 507,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,313.75 : 233,310.94 = 233,310.94 : x
  2. Step 2: Convert to fraction form
    107,313.75/233,310.94 = 233,310.94/x
  3. Step 3: Cross multiply
    107,313.75x = 233,310.94 × 233,310.94
  4. Step 4: Simplify right side
    107,313.75x = 54,433,993,557.13
  5. Step 5: Solve for x
    x = 54,433,993,557.13/107,313.75
  6. Step 6: Final answer
    x = 507,241.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.