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Finding the Third Proportional to 189,993,864 and 414,968,064

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Solution

The third proportional to 189,993,864 and 414,968,064 is: 906,337,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,993,864 : 414,968,064 = 414,968,064 : x
  2. Step 2: Convert to fraction form
    189,993,864/414,968,064 = 414,968,064/x
  3. Step 3: Cross multiply
    189,993,864x = 414,968,064 × 414,968,064
  4. Step 4: Simplify right side
    189,993,864x = 172,198,494,139,908,096
  5. Step 5: Solve for x
    x = 172,198,494,139,908,096/189,993,864
  6. Step 6: Final answer
    x = 906,337,133.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.