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Finding the Third Proportional to 150,058,144 and 325,165,552

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Solution

The third proportional to 150,058,144 and 325,165,552 is: 704,611,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,058,144 : 325,165,552 = 325,165,552 : x
  2. Step 2: Convert to fraction form
    150,058,144/325,165,552 = 325,165,552/x
  3. Step 3: Cross multiply
    150,058,144x = 325,165,552 × 325,165,552
  4. Step 4: Simplify right side
    150,058,144x = 105,732,636,207,464,704
  5. Step 5: Solve for x
    x = 105,732,636,207,464,704/150,058,144
  6. Step 6: Final answer
    x = 704,611,115.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.