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Finding the Third Proportional to 45,469 and 99,962

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Solution

The third proportional to 45,469 and 99,962 is: 219,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,469 : 99,962 = 99,962 : x
  2. Step 2: Convert to fraction form
    45,469/99,962 = 99,962/x
  3. Step 3: Cross multiply
    45,469x = 99,962 × 99,962
  4. Step 4: Simplify right side
    45,469x = 9,992,401,444
  5. Step 5: Solve for x
    x = 9,992,401,444/45,469
  6. Step 6: Final answer
    x = 219,762.95

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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.