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Finding the Third Proportional to 43,778 and 96,064

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Solution

The third proportional to 43,778 and 96,064 is: 210,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,778 : 96,064 = 96,064 : x
  2. Step 2: Convert to fraction form
    43,778/96,064 = 96,064/x
  3. Step 3: Cross multiply
    43,778x = 96,064 × 96,064
  4. Step 4: Simplify right side
    43,778x = 9,228,292,096
  5. Step 5: Solve for x
    x = 9,228,292,096/43,778
  6. Step 6: Final answer
    x = 210,797.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.