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Finding the Third Proportional to 96,980 and 209,260

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Solution

The third proportional to 96,980 and 209,260 is: 451,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,980 : 209,260 = 209,260 : x
  2. Step 2: Convert to fraction form
    96,980/209,260 = 209,260/x
  3. Step 3: Cross multiply
    96,980x = 209,260 × 209,260
  4. Step 4: Simplify right side
    96,980x = 43,789,747,600
  5. Step 5: Solve for x
    x = 43,789,747,600/96,980
  6. Step 6: Final answer
    x = 451,533.80

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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.