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Finding the Third Proportional to 93,690 and 200,766

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Solution

The third proportional to 93,690 and 200,766 is: 430,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,690 : 200,766 = 200,766 : x
  2. Step 2: Convert to fraction form
    93,690/200,766 = 200,766/x
  3. Step 3: Cross multiply
    93,690x = 200,766 × 200,766
  4. Step 4: Simplify right side
    93,690x = 40,306,986,756
  5. Step 5: Solve for x
    x = 40,306,986,756/93,690
  6. Step 6: Final answer
    x = 430,216.53

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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.