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Finding the Third Proportional to 45,231 and 98,244

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Solution

The third proportional to 45,231 and 98,244 is: 213,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,231 : 98,244 = 98,244 : x
  2. Step 2: Convert to fraction form
    45,231/98,244 = 98,244/x
  3. Step 3: Cross multiply
    45,231x = 98,244 × 98,244
  4. Step 4: Simplify right side
    45,231x = 9,651,883,536
  5. Step 5: Solve for x
    x = 9,651,883,536/45,231
  6. Step 6: Final answer
    x = 213,390.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.