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Finding the Third Proportional to 90,309,686 and 135,668,004

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Solution

The third proportional to 90,309,686 and 135,668,004 is: 203,807,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,309,686 : 135,668,004 = 135,668,004 : x
  2. Step 2: Convert to fraction form
    90,309,686/135,668,004 = 135,668,004/x
  3. Step 3: Cross multiply
    90,309,686x = 135,668,004 × 135,668,004
  4. Step 4: Simplify right side
    90,309,686x = 18,405,807,309,344,016
  5. Step 5: Solve for x
    x = 18,405,807,309,344,016/90,309,686
  6. Step 6: Final answer
    x = 203,807,676.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.