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Finding the Third Proportional to 196,320,917 and 304,402,337

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Solution

The third proportional to 196,320,917 and 304,402,337 is: 471,986,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,320,917 : 304,402,337 = 304,402,337 : x
  2. Step 2: Convert to fraction form
    196,320,917/304,402,337 = 304,402,337/x
  3. Step 3: Cross multiply
    196,320,917x = 304,402,337 × 304,402,337
  4. Step 4: Simplify right side
    196,320,917x = 92,660,782,771,061,568
  5. Step 5: Solve for x
    x = 92,660,782,771,061,568/196,320,917
  6. Step 6: Final answer
    x = 471,986,297.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.