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Finding the Third Proportional to 93,414 and 199,950

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Solution

The third proportional to 93,414 and 199,950 is: 427,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,414 : 199,950 = 199,950 : x
  2. Step 2: Convert to fraction form
    93,414/199,950 = 199,950/x
  3. Step 3: Cross multiply
    93,414x = 199,950 × 199,950
  4. Step 4: Simplify right side
    93,414x = 39,980,002,500
  5. Step 5: Solve for x
    x = 39,980,002,500/93,414
  6. Step 6: Final answer
    x = 427,987.27

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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.