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Finding the Third Proportional to 96,149,437 and 195,696,855

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Solution

The third proportional to 96,149,437 and 195,696,855 is: 398,309,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,149,437 : 195,696,855 = 195,696,855 : x
  2. Step 2: Convert to fraction form
    96,149,437/195,696,855 = 195,696,855/x
  3. Step 3: Cross multiply
    96,149,437x = 195,696,855 × 195,696,855
  4. Step 4: Simplify right side
    96,149,437x = 38,297,259,056,891,024
  5. Step 5: Solve for x
    x = 38,297,259,056,891,024/96,149,437
  6. Step 6: Final answer
    x = 398,309,758.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.