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Finding the Third Proportional to 33,244.50 and 78,222.75

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Solution

The third proportional to 33,244.50 and 78,222.75 is: 184,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,244.50 : 78,222.75 = 78,222.75 : x
  2. Step 2: Convert to fraction form
    33,244.50/78,222.75 = 78,222.75/x
  3. Step 3: Cross multiply
    33,244.50x = 78,222.75 × 78,222.75
  4. Step 4: Simplify right side
    33,244.50x = 6,118,798,617.56
  5. Step 5: Solve for x
    x = 6,118,798,617.56/33,244.50
  6. Step 6: Final answer
    x = 184,054.46

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.