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Finding the Third Proportional to 179,952,518,278 and 386,987,269,916

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Solution

The third proportional to 179,952,518,278 and 386,987,269,916 is: 832,214,789,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,952,518,278 : 386,987,269,916 = 386,987,269,916 : x
  2. Step 2: Convert to fraction form
    179,952,518,278/386,987,269,916 = 386,987,269,916/x
  3. Step 3: Cross multiply
    179,952,518,278x = 386,987,269,916 × 386,987,269,916
  4. Step 4: Simplify right side
    179,952,518,278x = 149,759,147,077,039,036,563,456
  5. Step 5: Solve for x
    x = 149,759,147,077,039,036,563,456/179,952,518,278
  6. Step 6: Final answer
    x = 832,214,789,268.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.