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Finding the Third Proportional to 199,777,476,468 and 410,145,738,952

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Solution

The third proportional to 199,777,476,468 and 410,145,738,952 is: 842,034,498,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777,476,468 : 410,145,738,952 = 410,145,738,952 : x
  2. Step 2: Convert to fraction form
    199,777,476,468/410,145,738,952 = 410,145,738,952/x
  3. Step 3: Cross multiply
    199,777,476,468x = 410,145,738,952 × 410,145,738,952
  4. Step 4: Simplify right side
    199,777,476,468x = 168,219,527,180,482,139,652,096
  5. Step 5: Solve for x
    x = 168,219,527,180,482,139,652,096/199,777,476,468
  6. Step 6: Final answer
    x = 842,034,498,355.61

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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.