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Finding the Third Proportional to 100,128,233 and 207,930,325

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Solution

The third proportional to 100,128,233 and 207,930,325 is: 431,796,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,128,233 : 207,930,325 = 207,930,325 : x
  2. Step 2: Convert to fraction form
    100,128,233/207,930,325 = 207,930,325/x
  3. Step 3: Cross multiply
    100,128,233x = 207,930,325 × 207,930,325
  4. Step 4: Simplify right side
    100,128,233x = 43,235,020,054,605,624
  5. Step 5: Solve for x
    x = 43,235,020,054,605,624/100,128,233
  6. Step 6: Final answer
    x = 431,796,494.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.