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Finding the Third Proportional to 146,544,912 and 226,703,988

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Solution

The third proportional to 146,544,912 and 226,703,988 is: 350,709,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,544,912 : 226,703,988 = 226,703,988 : x
  2. Step 2: Convert to fraction form
    146,544,912/226,703,988 = 226,703,988/x
  3. Step 3: Cross multiply
    146,544,912x = 226,703,988 × 226,703,988
  4. Step 4: Simplify right side
    146,544,912x = 51,394,698,175,104,144
  5. Step 5: Solve for x
    x = 51,394,698,175,104,144/146,544,912
  6. Step 6: Final answer
    x = 350,709,536.58

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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.