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Finding the Third Proportional to 93,788 and 203,596

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Solution

The third proportional to 93,788 and 203,596 is: 441,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,788 : 203,596 = 203,596 : x
  2. Step 2: Convert to fraction form
    93,788/203,596 = 203,596/x
  3. Step 3: Cross multiply
    93,788x = 203,596 × 203,596
  4. Step 4: Simplify right side
    93,788x = 41,451,331,216
  5. Step 5: Solve for x
    x = 41,451,331,216/93,788
  6. Step 6: Final answer
    x = 441,968.39

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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.