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Finding the Third Proportional to 144,375,380 and 300,647,824

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Solution

The third proportional to 144,375,380 and 300,647,824 is: 626,070,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,375,380 : 300,647,824 = 300,647,824 : x
  2. Step 2: Convert to fraction form
    144,375,380/300,647,824 = 300,647,824/x
  3. Step 3: Cross multiply
    144,375,380x = 300,647,824 × 300,647,824
  4. Step 4: Simplify right side
    144,375,380x = 90,389,114,075,934,976
  5. Step 5: Solve for x
    x = 90,389,114,075,934,976/144,375,380
  6. Step 6: Final answer
    x = 626,070,137.97

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