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Finding the Third Proportional to 44,414 and 92,932

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Solution

The third proportional to 44,414 and 92,932 is: 194,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,414 : 92,932 = 92,932 : x
  2. Step 2: Convert to fraction form
    44,414/92,932 = 92,932/x
  3. Step 3: Cross multiply
    44,414x = 92,932 × 92,932
  4. Step 4: Simplify right side
    44,414x = 8,636,356,624
  5. Step 5: Solve for x
    x = 8,636,356,624/44,414
  6. Step 6: Final answer
    x = 194,451.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.