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Finding the Third Proportional to 95,346 and 209,796

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Solution

The third proportional to 95,346 and 209,796 is: 461,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,346 : 209,796 = 209,796 : x
  2. Step 2: Convert to fraction form
    95,346/209,796 = 209,796/x
  3. Step 3: Cross multiply
    95,346x = 209,796 × 209,796
  4. Step 4: Simplify right side
    95,346x = 44,014,361,616
  5. Step 5: Solve for x
    x = 44,014,361,616/95,346
  6. Step 6: Final answer
    x = 461,627.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.