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Finding the Third Proportional to 90,169 and 195,889

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Solution

The third proportional to 90,169 and 195,889 is: 425,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,169 : 195,889 = 195,889 : x
  2. Step 2: Convert to fraction form
    90,169/195,889 = 195,889/x
  3. Step 3: Cross multiply
    90,169x = 195,889 × 195,889
  4. Step 4: Simplify right side
    90,169x = 38,372,500,321
  5. Step 5: Solve for x
    x = 38,372,500,321/90,169
  6. Step 6: Final answer
    x = 425,562.00

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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.