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Finding the Third Proportional to 199,777,476,460.88 and 410,145,738,937.14

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Solution

The third proportional to 199,777,476,460.88 and 410,145,738,937.14 is: 842,034,498,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777,476,460.88 : 410,145,738,937.14 = 410,145,738,937.14 : x
  2. Step 2: Convert to fraction form
    199,777,476,460.88/410,145,738,937.14 = 410,145,738,937.14/x
  3. Step 3: Cross multiply
    199,777,476,460.88x = 410,145,738,937.14 × 410,145,738,937.14
  4. Step 4: Simplify right side
    199,777,476,460.88x = 168,219,527,168,292,619,812,864
  5. Step 5: Solve for x
    x = 168,219,527,168,292,619,812,864/199,777,476,460.88
  6. Step 6: Final answer
    x = 842,034,498,324.61

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1.5x scale

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.