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Finding the Third Proportional to 96,920 and 202,624

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Solution

The third proportional to 96,920 and 202,624 is: 423,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,920 : 202,624 = 202,624 : x
  2. Step 2: Convert to fraction form
    96,920/202,624 = 202,624/x
  3. Step 3: Cross multiply
    96,920x = 202,624 × 202,624
  4. Step 4: Simplify right side
    96,920x = 41,056,485,376
  5. Step 5: Solve for x
    x = 41,056,485,376/96,920
  6. Step 6: Final answer
    x = 423,612.11

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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.