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Finding the Third Proportional to 69,802,048 and 149,308,544

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Solution

The third proportional to 69,802,048 and 149,308,544 is: 319,375,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,802,048 : 149,308,544 = 149,308,544 : x
  2. Step 2: Convert to fraction form
    69,802,048/149,308,544 = 149,308,544/x
  3. Step 3: Cross multiply
    69,802,048x = 149,308,544 × 149,308,544
  4. Step 4: Simplify right side
    69,802,048x = 22,293,041,311,399,936
  5. Step 5: Solve for x
    x = 22,293,041,311,399,936/69,802,048
  6. Step 6: Final answer
    x = 319,375,175.23

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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.