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Finding the Third Proportional to 167,851,372,612 and 342,445,320,008

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Solution

The third proportional to 167,851,372,612 and 342,445,320,008 is: 698,646,638,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,851,372,612 : 342,445,320,008 = 342,445,320,008 : x
  2. Step 2: Convert to fraction form
    167,851,372,612/342,445,320,008 = 342,445,320,008/x
  3. Step 3: Cross multiply
    167,851,372,612x = 342,445,320,008 × 342,445,320,008
  4. Step 4: Simplify right side
    167,851,372,612x = 117,268,797,195,381,521,776,640
  5. Step 5: Solve for x
    x = 117,268,797,195,381,521,776,640/167,851,372,612
  6. Step 6: Final answer
    x = 698,646,638,216.40

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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.