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Finding the Third Proportional to 96,918 and 205,579

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Solution

The third proportional to 96,918 and 205,579 is: 436,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,918 : 205,579 = 205,579 : x
  2. Step 2: Convert to fraction form
    96,918/205,579 = 205,579/x
  3. Step 3: Cross multiply
    96,918x = 205,579 × 205,579
  4. Step 4: Simplify right side
    96,918x = 42,262,725,241
  5. Step 5: Solve for x
    x = 42,262,725,241/96,918
  6. Step 6: Final answer
    x = 436,066.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.