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Finding the Third Proportional to 38,816 and 92,432

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Solution

The third proportional to 38,816 and 92,432 is: 220,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 92,432 = 92,432 : x
  2. Step 2: Convert to fraction form
    38,816/92,432 = 92,432/x
  3. Step 3: Cross multiply
    38,816x = 92,432 × 92,432
  4. Step 4: Simplify right side
    38,816x = 8,543,674,624
  5. Step 5: Solve for x
    x = 8,543,674,624/38,816
  6. Step 6: Final answer
    x = 220,107.03

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.