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Finding the Third Proportional to 96,932 and 209,140

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Solution

The third proportional to 96,932 and 209,140 is: 451,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,932 : 209,140 = 209,140 : x
  2. Step 2: Convert to fraction form
    96,932/209,140 = 209,140/x
  3. Step 3: Cross multiply
    96,932x = 209,140 × 209,140
  4. Step 4: Simplify right side
    96,932x = 43,739,539,600
  5. Step 5: Solve for x
    x = 43,739,539,600/96,932
  6. Step 6: Final answer
    x = 451,239.42

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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.