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Finding the Third Proportional to 142,034,067 and 305,640,696

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Solution

The third proportional to 142,034,067 and 305,640,696 is: 657,703,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,067 : 305,640,696 = 305,640,696 : x
  2. Step 2: Convert to fraction form
    142,034,067/305,640,696 = 305,640,696/x
  3. Step 3: Cross multiply
    142,034,067x = 305,640,696 × 305,640,696
  4. Step 4: Simplify right side
    142,034,067x = 93,416,235,051,364,416
  5. Step 5: Solve for x
    x = 93,416,235,051,364,416/142,034,067
  6. Step 6: Final answer
    x = 657,703,021.71

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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.