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Finding the Third Proportional to 96,892 and 216,460

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Solution

The third proportional to 96,892 and 216,460 is: 483,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,892 : 216,460 = 216,460 : x
  2. Step 2: Convert to fraction form
    96,892/216,460 = 216,460/x
  3. Step 3: Cross multiply
    96,892x = 216,460 × 216,460
  4. Step 4: Simplify right side
    96,892x = 46,854,931,600
  5. Step 5: Solve for x
    x = 46,854,931,600/96,892
  6. Step 6: Final answer
    x = 483,578.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.