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Finding the Third Proportional to 140,450,115 and 301,608,726

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Solution

The third proportional to 140,450,115 and 301,608,726 is: 647,687,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,450,115 : 301,608,726 = 301,608,726 : x
  2. Step 2: Convert to fraction form
    140,450,115/301,608,726 = 301,608,726/x
  3. Step 3: Cross multiply
    140,450,115x = 301,608,726 × 301,608,726
  4. Step 4: Simplify right side
    140,450,115x = 90,967,823,599,343,072
  5. Step 5: Solve for x
    x = 90,967,823,599,343,072/140,450,115
  6. Step 6: Final answer
    x = 647,687,782.95

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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.