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Finding the Third Proportional to 93,518 and 199,251

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Solution

The third proportional to 93,518 and 199,251 is: 424,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,518 : 199,251 = 199,251 : x
  2. Step 2: Convert to fraction form
    93,518/199,251 = 199,251/x
  3. Step 3: Cross multiply
    93,518x = 199,251 × 199,251
  4. Step 4: Simplify right side
    93,518x = 39,700,961,001
  5. Step 5: Solve for x
    x = 39,700,961,001/93,518
  6. Step 6: Final answer
    x = 424,527.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.