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Finding the Third Proportional to 93,780 and 203,580

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Solution

The third proportional to 93,780 and 203,580 is: 441,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,780 : 203,580 = 203,580 : x
  2. Step 2: Convert to fraction form
    93,780/203,580 = 203,580/x
  3. Step 3: Cross multiply
    93,780x = 203,580 × 203,580
  4. Step 4: Simplify right side
    93,780x = 41,444,816,400
  5. Step 5: Solve for x
    x = 41,444,816,400/93,780
  6. Step 6: Final answer
    x = 441,936.62

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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.