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Finding the Third Proportional to 93,009 and 200,994

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Solution

The third proportional to 93,009 and 200,994 is: 434,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,009 : 200,994 = 200,994 : x
  2. Step 2: Convert to fraction form
    93,009/200,994 = 200,994/x
  3. Step 3: Cross multiply
    93,009x = 200,994 × 200,994
  4. Step 4: Simplify right side
    93,009x = 40,398,588,036
  5. Step 5: Solve for x
    x = 40,398,588,036/93,009
  6. Step 6: Final answer
    x = 434,351.39

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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.