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Finding the Third Proportional to 93,452 and 199,992

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Solution

The third proportional to 93,452 and 199,992 is: 427,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,452 : 199,992 = 199,992 : x
  2. Step 2: Convert to fraction form
    93,452/199,992 = 199,992/x
  3. Step 3: Cross multiply
    93,452x = 199,992 × 199,992
  4. Step 4: Simplify right side
    93,452x = 39,996,800,064
  5. Step 5: Solve for x
    x = 39,996,800,064/93,452
  6. Step 6: Final answer
    x = 427,992.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.