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Finding the Third Proportional to 164,824,242 and 343,212,744

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Solution

The third proportional to 164,824,242 and 343,212,744 is: 714,670,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,824,242 : 343,212,744 = 343,212,744 : x
  2. Step 2: Convert to fraction form
    164,824,242/343,212,744 = 343,212,744/x
  3. Step 3: Cross multiply
    164,824,242x = 343,212,744 × 343,212,744
  4. Step 4: Simplify right side
    164,824,242x = 117,794,987,644,009,536
  5. Step 5: Solve for x
    x = 117,794,987,644,009,536/164,824,242
  6. Step 6: Final answer
    x = 714,670,282.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.