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Finding the Third Proportional to 193,121,991 and 413,857,035

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Solution

The third proportional to 193,121,991 and 413,857,035 is: 886,888,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,121,991 : 413,857,035 = 413,857,035 : x
  2. Step 2: Convert to fraction form
    193,121,991/413,857,035 = 413,857,035/x
  3. Step 3: Cross multiply
    193,121,991x = 413,857,035 × 413,857,035
  4. Step 4: Simplify right side
    193,121,991x = 171,277,645,418,991,232
  5. Step 5: Solve for x
    x = 171,277,645,418,991,232/193,121,991
  6. Step 6: Final answer
    x = 886,888,357.62

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Why These Related Problems?

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