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Finding the Third Proportional to 93,646 and 206,379

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Solution

The third proportional to 93,646 and 206,379 is: 454,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,646 : 206,379 = 206,379 : x
  2. Step 2: Convert to fraction form
    93,646/206,379 = 206,379/x
  3. Step 3: Cross multiply
    93,646x = 206,379 × 206,379
  4. Step 4: Simplify right side
    93,646x = 42,592,291,641
  5. Step 5: Solve for x
    x = 42,592,291,641/93,646
  6. Step 6: Final answer
    x = 454,822.33

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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.