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Finding the Third Proportional to 194,738,868 and 411,207,764

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Solution

The third proportional to 194,738,868 and 411,207,764 is: 868,300,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,738,868 : 411,207,764 = 411,207,764 : x
  2. Step 2: Convert to fraction form
    194,738,868/411,207,764 = 411,207,764/x
  3. Step 3: Cross multiply
    194,738,868x = 411,207,764 × 411,207,764
  4. Step 4: Simplify right side
    194,738,868x = 169,091,825,173,879,680
  5. Step 5: Solve for x
    x = 169,091,825,173,879,680/194,738,868
  6. Step 6: Final answer
    x = 868,300,339.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.