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Finding the Third Proportional to 167,851,372,610 and 342,445,320,004

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Solution

The third proportional to 167,851,372,610 and 342,445,320,004 is: 698,646,638,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,851,372,610 : 342,445,320,004 = 342,445,320,004 : x
  2. Step 2: Convert to fraction form
    167,851,372,610/342,445,320,004 = 342,445,320,004/x
  3. Step 3: Cross multiply
    167,851,372,610x = 342,445,320,004 × 342,445,320,004
  4. Step 4: Simplify right side
    167,851,372,610x = 117,268,797,192,641,970,176,000
  5. Step 5: Solve for x
    x = 117,268,797,192,641,970,176,000/167,851,372,610
  6. Step 6: Final answer
    x = 698,646,638,208.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.