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Finding the Third Proportional to 96,876 and 209,040

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Solution

The third proportional to 96,876 and 209,040 is: 451,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,876 : 209,040 = 209,040 : x
  2. Step 2: Convert to fraction form
    96,876/209,040 = 209,040/x
  3. Step 3: Cross multiply
    96,876x = 209,040 × 209,040
  4. Step 4: Simplify right side
    96,876x = 43,697,721,600
  5. Step 5: Solve for x
    x = 43,697,721,600/96,876
  6. Step 6: Final answer
    x = 451,068.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.