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Finding the Third Proportional to 90,624,967 and 195,690,190

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Solution

The third proportional to 90,624,967 and 195,690,190 is: 422,561,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,624,967 : 195,690,190 = 195,690,190 : x
  2. Step 2: Convert to fraction form
    90,624,967/195,690,190 = 195,690,190/x
  3. Step 3: Cross multiply
    90,624,967x = 195,690,190 × 195,690,190
  4. Step 4: Simplify right side
    90,624,967x = 38,294,650,462,236,096
  5. Step 5: Solve for x
    x = 38,294,650,462,236,096/90,624,967
  6. Step 6: Final answer
    x = 422,561,814.14

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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.