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Finding the Third Proportional to 150,554,546 and 230,159,050

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Solution

The third proportional to 150,554,546 and 230,159,050 is: 351,853,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,554,546 : 230,159,050 = 230,159,050 : x
  2. Step 2: Convert to fraction form
    150,554,546/230,159,050 = 230,159,050/x
  3. Step 3: Cross multiply
    150,554,546x = 230,159,050 × 230,159,050
  4. Step 4: Simplify right side
    150,554,546x = 52,973,188,296,902,496
  5. Step 5: Solve for x
    x = 52,973,188,296,902,496/150,554,546
  6. Step 6: Final answer
    x = 351,853,794.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.