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Finding the Third Proportional to 96,849 and 209,783

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Solution

The third proportional to 96,849 and 209,783 is: 454,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,849 : 209,783 = 209,783 : x
  2. Step 2: Convert to fraction form
    96,849/209,783 = 209,783/x
  3. Step 3: Cross multiply
    96,849x = 209,783 × 209,783
  4. Step 4: Simplify right side
    96,849x = 44,008,907,089
  5. Step 5: Solve for x
    x = 44,008,907,089/96,849
  6. Step 6: Final answer
    x = 454,407.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.