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Finding the Third Proportional to 44,052 and 96,816

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Solution

The third proportional to 44,052 and 96,816 is: 212,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,052 : 96,816 = 96,816 : x
  2. Step 2: Convert to fraction form
    44,052/96,816 = 96,816/x
  3. Step 3: Cross multiply
    44,052x = 96,816 × 96,816
  4. Step 4: Simplify right side
    44,052x = 9,373,337,856
  5. Step 5: Solve for x
    x = 9,373,337,856/44,052
  6. Step 6: Final answer
    x = 212,778.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.