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Finding the Third Proportional to 167,384,448 and 360,418,016

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Solution

The third proportional to 167,384,448 and 360,418,016 is: 776,064,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,384,448 : 360,418,016 = 360,418,016 : x
  2. Step 2: Convert to fraction form
    167,384,448/360,418,016 = 360,418,016/x
  3. Step 3: Cross multiply
    167,384,448x = 360,418,016 × 360,418,016
  4. Step 4: Simplify right side
    167,384,448x = 129,901,146,257,376,256
  5. Step 5: Solve for x
    x = 129,901,146,257,376,256/167,384,448
  6. Step 6: Final answer
    x = 776,064,609.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.