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Finding the Third Proportional to 167,851,372,608 and 342,445,320,000

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Solution

The third proportional to 167,851,372,608 and 342,445,320,000 is: 698,646,638,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,851,372,608 : 342,445,320,000 = 342,445,320,000 : x
  2. Step 2: Convert to fraction form
    167,851,372,608/342,445,320,000 = 342,445,320,000/x
  3. Step 3: Cross multiply
    167,851,372,608x = 342,445,320,000 × 342,445,320,000
  4. Step 4: Simplify right side
    167,851,372,608x = 117,268,797,189,902,401,798,144
  5. Step 5: Solve for x
    x = 117,268,797,189,902,401,798,144/167,851,372,608
  6. Step 6: Final answer
    x = 698,646,638,200.40

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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.