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Finding the Third Proportional to 46,231 and 101,479

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Solution

The third proportional to 46,231 and 101,479 is: 222,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,231 : 101,479 = 101,479 : x
  2. Step 2: Convert to fraction form
    46,231/101,479 = 101,479/x
  3. Step 3: Cross multiply
    46,231x = 101,479 × 101,479
  4. Step 4: Simplify right side
    46,231x = 10,297,987,441
  5. Step 5: Solve for x
    x = 10,297,987,441/46,231
  6. Step 6: Final answer
    x = 222,750.70

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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.