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Finding the Third Proportional to 93,826 and 203,312

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Solution

The third proportional to 93,826 and 203,312 is: 440,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,826 : 203,312 = 203,312 : x
  2. Step 2: Convert to fraction form
    93,826/203,312 = 203,312/x
  3. Step 3: Cross multiply
    93,826x = 203,312 × 203,312
  4. Step 4: Simplify right side
    93,826x = 41,335,769,344
  5. Step 5: Solve for x
    x = 41,335,769,344/93,826
  6. Step 6: Final answer
    x = 440,557.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.