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Finding the Third Proportional to 90,224 and 195,816

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Solution

The third proportional to 90,224 and 195,816 is: 424,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,224 : 195,816 = 195,816 : x
  2. Step 2: Convert to fraction form
    90,224/195,816 = 195,816/x
  3. Step 3: Cross multiply
    90,224x = 195,816 × 195,816
  4. Step 4: Simplify right side
    90,224x = 38,343,905,856
  5. Step 5: Solve for x
    x = 38,343,905,856/90,224
  6. Step 6: Final answer
    x = 424,985.66

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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.