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Finding the Third Proportional to 92,838 and 216,918

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Solution

The third proportional to 92,838 and 216,918 is: 506,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,838 : 216,918 = 216,918 : x
  2. Step 2: Convert to fraction form
    92,838/216,918 = 216,918/x
  3. Step 3: Cross multiply
    92,838x = 216,918 × 216,918
  4. Step 4: Simplify right side
    92,838x = 47,053,418,724
  5. Step 5: Solve for x
    x = 47,053,418,724/92,838
  6. Step 6: Final answer
    x = 506,833.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.