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Finding the Third Proportional to 150,058,128 and 325,165,520

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Solution

The third proportional to 150,058,128 and 325,165,520 is: 704,611,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,058,128 : 325,165,520 = 325,165,520 : x
  2. Step 2: Convert to fraction form
    150,058,128/325,165,520 = 325,165,520/x
  3. Step 3: Cross multiply
    150,058,128x = 325,165,520 × 325,165,520
  4. Step 4: Simplify right side
    150,058,128x = 105,732,615,396,870,400
  5. Step 5: Solve for x
    x = 105,732,615,396,870,400/150,058,128
  6. Step 6: Final answer
    x = 704,611,051.77

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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.