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Finding the Third Proportional to 158,006,992 and 339,311,148

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Solution

The third proportional to 158,006,992 and 339,311,148 is: 728,651,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,006,992 : 339,311,148 = 339,311,148 : x
  2. Step 2: Convert to fraction form
    158,006,992/339,311,148 = 339,311,148/x
  3. Step 3: Cross multiply
    158,006,992x = 339,311,148 × 339,311,148
  4. Step 4: Simplify right side
    158,006,992x = 115,132,055,157,077,904
  5. Step 5: Solve for x
    x = 115,132,055,157,077,904/158,006,992
  6. Step 6: Final answer
    x = 728,651,648.26

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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.