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Finding the Third Proportional to 193,122,008 and 413,857,074

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Solution

The third proportional to 193,122,008 and 413,857,074 is: 886,888,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,122,008 : 413,857,074 = 413,857,074 : x
  2. Step 2: Convert to fraction form
    193,122,008/413,857,074 = 413,857,074/x
  3. Step 3: Cross multiply
    193,122,008x = 413,857,074 × 413,857,074
  4. Step 4: Simplify right side
    193,122,008x = 171,277,677,699,841,472
  5. Step 5: Solve for x
    x = 171,277,677,699,841,472/193,122,008
  6. Step 6: Final answer
    x = 886,888,446.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.