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Finding the Third Proportional to 97,887 and 213,753

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Solution

The third proportional to 97,887 and 213,753 is: 466,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,887 : 213,753 = 213,753 : x
  2. Step 2: Convert to fraction form
    97,887/213,753 = 213,753/x
  3. Step 3: Cross multiply
    97,887x = 213,753 × 213,753
  4. Step 4: Simplify right side
    97,887x = 45,690,345,009
  5. Step 5: Solve for x
    x = 45,690,345,009/97,887
  6. Step 6: Final answer
    x = 466,766.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.