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Finding the Third Proportional to 93,064 and 193,994

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Solution

The third proportional to 93,064 and 193,994 is: 404,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,064 : 193,994 = 193,994 : x
  2. Step 2: Convert to fraction form
    93,064/193,994 = 193,994/x
  3. Step 3: Cross multiply
    93,064x = 193,994 × 193,994
  4. Step 4: Simplify right side
    93,064x = 37,633,672,036
  5. Step 5: Solve for x
    x = 37,633,672,036/93,064
  6. Step 6: Final answer
    x = 404,384.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.