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Finding the Third Proportional to 90,193 and 201,090

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Solution

The third proportional to 90,193 and 201,090 is: 448,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,193 : 201,090 = 201,090 : x
  2. Step 2: Convert to fraction form
    90,193/201,090 = 201,090/x
  3. Step 3: Cross multiply
    90,193x = 201,090 × 201,090
  4. Step 4: Simplify right side
    90,193x = 40,437,188,100
  5. Step 5: Solve for x
    x = 40,437,188,100/90,193
  6. Step 6: Final answer
    x = 448,340.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.