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Finding the Third Proportional to 90,422.86 and 196,412.91

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Solution

The third proportional to 90,422.86 and 196,412.91 is: 426,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,422.86 : 196,412.91 = 196,412.91 : x
  2. Step 2: Convert to fraction form
    90,422.86/196,412.91 = 196,412.91/x
  3. Step 3: Cross multiply
    90,422.86x = 196,412.91 × 196,412.91
  4. Step 4: Simplify right side
    90,422.86x = 38,578,029,741.57
  5. Step 5: Solve for x
    x = 38,578,029,741.57/90,422.86
  6. Step 6: Final answer
    x = 426,640.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.