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Finding the Third Proportional to 46,233 and 101,483

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Solution

The third proportional to 46,233 and 101,483 is: 222,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,233 : 101,483 = 101,483 : x
  2. Step 2: Convert to fraction form
    46,233/101,483 = 101,483/x
  3. Step 3: Cross multiply
    46,233x = 101,483 × 101,483
  4. Step 4: Simplify right side
    46,233x = 10,298,799,289
  5. Step 5: Solve for x
    x = 10,298,799,289/46,233
  6. Step 6: Final answer
    x = 222,758.62

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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.