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Finding the Third Proportional to 43,858 and 96,464

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Solution

The third proportional to 43,858 and 96,464 is: 212,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,858 : 96,464 = 96,464 : x
  2. Step 2: Convert to fraction form
    43,858/96,464 = 96,464/x
  3. Step 3: Cross multiply
    43,858x = 96,464 × 96,464
  4. Step 4: Simplify right side
    43,858x = 9,305,303,296
  5. Step 5: Solve for x
    x = 9,305,303,296/43,858
  6. Step 6: Final answer
    x = 212,168.89

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