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Finding the Third Proportional to 97,409 and 209,992

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Solution

The third proportional to 97,409 and 209,992 is: 452,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409 : 209,992 = 209,992 : x
  2. Step 2: Convert to fraction form
    97,409/209,992 = 209,992/x
  3. Step 3: Cross multiply
    97,409x = 209,992 × 209,992
  4. Step 4: Simplify right side
    97,409x = 44,096,640,064
  5. Step 5: Solve for x
    x = 44,096,640,064/97,409
  6. Step 6: Final answer
    x = 452,695.75

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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.