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Finding the Third Proportional to 149,251,785.75 and 322,950,951

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Solution

The third proportional to 149,251,785.75 and 322,950,951 is: 698,801,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,251,785.75 : 322,950,951 = 322,950,951 : x
  2. Step 2: Convert to fraction form
    149,251,785.75/322,950,951 = 322,950,951/x
  3. Step 3: Cross multiply
    149,251,785.75x = 322,950,951 × 322,950,951
  4. Step 4: Simplify right side
    149,251,785.75x = 104,297,316,751,804,400
  5. Step 5: Solve for x
    x = 104,297,316,751,804,400/149,251,785.75
  6. Step 6: Final answer
    x = 698,801,131.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.