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Finding the Third Proportional to 44,435 and 93,864

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Solution

The third proportional to 44,435 and 93,864 is: 198,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,435 : 93,864 = 93,864 : x
  2. Step 2: Convert to fraction form
    44,435/93,864 = 93,864/x
  3. Step 3: Cross multiply
    44,435x = 93,864 × 93,864
  4. Step 4: Simplify right side
    44,435x = 8,810,450,496
  5. Step 5: Solve for x
    x = 8,810,450,496/44,435
  6. Step 6: Final answer
    x = 198,277.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.