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Finding the Third Proportional to 189,993,866 and 414,968,068

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Solution

The third proportional to 189,993,866 and 414,968,068 is: 906,337,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,993,866 : 414,968,068 = 414,968,068 : x
  2. Step 2: Convert to fraction form
    189,993,866/414,968,068 = 414,968,068/x
  3. Step 3: Cross multiply
    189,993,866x = 414,968,068 × 414,968,068
  4. Step 4: Simplify right side
    189,993,866x = 172,198,497,459,652,608
  5. Step 5: Solve for x
    x = 172,198,497,459,652,608/189,993,866
  6. Step 6: Final answer
    x = 906,337,141.75

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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.