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Finding the Third Proportional to 45,711 and 99,966

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Solution

The third proportional to 45,711 and 99,966 is: 218,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,711 : 99,966 = 99,966 : x
  2. Step 2: Convert to fraction form
    45,711/99,966 = 99,966/x
  3. Step 3: Cross multiply
    45,711x = 99,966 × 99,966
  4. Step 4: Simplify right side
    45,711x = 9,993,201,156
  5. Step 5: Solve for x
    x = 9,993,201,156/45,711
  6. Step 6: Final answer
    x = 218,616.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.