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Finding the Third Proportional to 43,948 and 96,638

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Solution

The third proportional to 43,948 and 96,638 is: 212,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,948 : 96,638 = 96,638 : x
  2. Step 2: Convert to fraction form
    43,948/96,638 = 96,638/x
  3. Step 3: Cross multiply
    43,948x = 96,638 × 96,638
  4. Step 4: Simplify right side
    43,948x = 9,338,903,044
  5. Step 5: Solve for x
    x = 9,338,903,044/43,948
  6. Step 6: Final answer
    x = 212,498.93

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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.