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Finding the Third Proportional to 43,408.50 and 88,024.50

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Solution

The third proportional to 43,408.50 and 88,024.50 is: 178,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408.50 : 88,024.50 = 88,024.50 : x
  2. Step 2: Convert to fraction form
    43,408.50/88,024.50 = 88,024.50/x
  3. Step 3: Cross multiply
    43,408.50x = 88,024.50 × 88,024.50
  4. Step 4: Simplify right side
    43,408.50x = 7,748,312,600.25
  5. Step 5: Solve for x
    x = 7,748,312,600.25/43,408.50
  6. Step 6: Final answer
    x = 178,497.59

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.