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Finding the Third Proportional to 44,433.56 and 96,408.56

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Solution

The third proportional to 44,433.56 and 96,408.56 is: 209,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,433.56 : 96,408.56 = 96,408.56 : x
  2. Step 2: Convert to fraction form
    44,433.56/96,408.56 = 96,408.56/x
  3. Step 3: Cross multiply
    44,433.56x = 96,408.56 × 96,408.56
  4. Step 4: Simplify right side
    44,433.56x = 9,294,610,923.32
  5. Step 5: Solve for x
    x = 9,294,610,923.32/44,433.56
  6. Step 6: Final answer
    x = 209,179.96

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Why These Related Problems?

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