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Finding the Third Proportional to 96,435 and 211,554

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Solution

The third proportional to 96,435 and 211,554 is: 464,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,435 : 211,554 = 211,554 : x
  2. Step 2: Convert to fraction form
    96,435/211,554 = 211,554/x
  3. Step 3: Cross multiply
    96,435x = 211,554 × 211,554
  4. Step 4: Simplify right side
    96,435x = 44,755,094,916
  5. Step 5: Solve for x
    x = 44,755,094,916/96,435
  6. Step 6: Final answer
    x = 464,095.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.