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Finding the Third Proportional to 90,533 and 195,633

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Solution

The third proportional to 90,533 and 195,633 is: 422,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,533 : 195,633 = 195,633 : x
  2. Step 2: Convert to fraction form
    90,533/195,633 = 195,633/x
  3. Step 3: Cross multiply
    90,533x = 195,633 × 195,633
  4. Step 4: Simplify right side
    90,533x = 38,272,270,689
  5. Step 5: Solve for x
    x = 38,272,270,689/90,533
  6. Step 6: Final answer
    x = 422,743.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.