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Finding the Third Proportional to 45,744 and 99,864

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Solution

The third proportional to 45,744 and 99,864 is: 218,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744 : 99,864 = 99,864 : x
  2. Step 2: Convert to fraction form
    45,744/99,864 = 99,864/x
  3. Step 3: Cross multiply
    45,744x = 99,864 × 99,864
  4. Step 4: Simplify right side
    45,744x = 9,972,818,496
  5. Step 5: Solve for x
    x = 9,972,818,496/45,744
  6. Step 6: Final answer
    x = 218,013.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.