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Finding the Third Proportional to 140,450,103 and 301,608,702

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Solution

The third proportional to 140,450,103 and 301,608,702 is: 647,687,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,450,103 : 301,608,702 = 301,608,702 : x
  2. Step 2: Convert to fraction form
    140,450,103/301,608,702 = 301,608,702/x
  3. Step 3: Cross multiply
    140,450,103x = 301,608,702 × 301,608,702
  4. Step 4: Simplify right side
    140,450,103x = 90,967,809,122,124,800
  5. Step 5: Solve for x
    x = 90,967,809,122,124,800/140,450,103
  6. Step 6: Final answer
    x = 647,687,735.21

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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.