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Finding the Third Proportional to 150,058,140 and 325,165,544

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Solution

The third proportional to 150,058,140 and 325,165,544 is: 704,611,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,058,140 : 325,165,544 = 325,165,544 : x
  2. Step 2: Convert to fraction form
    150,058,140/325,165,544 = 325,165,544/x
  3. Step 3: Cross multiply
    150,058,140x = 325,165,544 × 325,165,544
  4. Step 4: Simplify right side
    150,058,140x = 105,732,631,004,815,936
  5. Step 5: Solve for x
    x = 105,732,631,004,815,936/150,058,140
  6. Step 6: Final answer
    x = 704,611,099.44

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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.