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Finding the Third Proportional to 199,777,476,464 and 410,145,738,943

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Solution

The third proportional to 199,777,476,464 and 410,145,738,943 is: 842,034,498,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777,476,464 : 410,145,738,943 = 410,145,738,943 : x
  2. Step 2: Convert to fraction form
    199,777,476,464/410,145,738,943 = 410,145,738,943/x
  3. Step 3: Cross multiply
    199,777,476,464x = 410,145,738,943 × 410,145,738,943
  4. Step 4: Simplify right side
    199,777,476,464x = 168,219,527,173,099,493,523,456
  5. Step 5: Solve for x
    x = 168,219,527,173,099,493,523,456/199,777,476,464
  6. Step 6: Final answer
    x = 842,034,498,335.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.