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Finding the Third Proportional to 196,572,933 and 426,560,205

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Solution

The third proportional to 196,572,933 and 426,560,205 is: 925,629,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572,933 : 426,560,205 = 426,560,205 : x
  2. Step 2: Convert to fraction form
    196,572,933/426,560,205 = 426,560,205/x
  3. Step 3: Cross multiply
    196,572,933x = 426,560,205 × 426,560,205
  4. Step 4: Simplify right side
    196,572,933x = 181,953,608,489,642,016
  5. Step 5: Solve for x
    x = 181,953,608,489,642,016/196,572,933
  6. Step 6: Final answer
    x = 925,629,005.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.