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Finding the Third Proportional to 96,876 and 216,432

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Solution

The third proportional to 96,876 and 216,432 is: 483,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,876 : 216,432 = 216,432 : x
  2. Step 2: Convert to fraction form
    96,876/216,432 = 216,432/x
  3. Step 3: Cross multiply
    96,876x = 216,432 × 216,432
  4. Step 4: Simplify right side
    96,876x = 46,842,810,624
  5. Step 5: Solve for x
    x = 46,842,810,624/96,876
  6. Step 6: Final answer
    x = 483,533.70

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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.