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Finding the Third Proportional to 193,807,922 and 290,853,629

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Solution

The third proportional to 193,807,922 and 290,853,629 is: 436,493,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,807,922 : 290,853,629 = 290,853,629 : x
  2. Step 2: Convert to fraction form
    193,807,922/290,853,629 = 290,853,629/x
  3. Step 3: Cross multiply
    193,807,922x = 290,853,629 × 290,853,629
  4. Step 4: Simplify right side
    193,807,922x = 84,595,833,502,469,648
  5. Step 5: Solve for x
    x = 84,595,833,502,469,648/193,807,922
  6. Step 6: Final answer
    x = 436,493,166.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.