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Finding the Third Proportional to 107,047.50 and 233,163.75

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Solution

The third proportional to 107,047.50 and 233,163.75 is: 507,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,047.50 : 233,163.75 = 233,163.75 : x
  2. Step 2: Convert to fraction form
    107,047.50/233,163.75 = 233,163.75/x
  3. Step 3: Cross multiply
    107,047.50x = 233,163.75 × 233,163.75
  4. Step 4: Simplify right side
    107,047.50x = 54,365,334,314.06
  5. Step 5: Solve for x
    x = 54,365,334,314.06/107,047.50
  6. Step 6: Final answer
    x = 507,861.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.