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Finding the Third Proportional to 144,375,676 and 300,648,620

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Solution

The third proportional to 144,375,676 and 300,648,620 is: 626,072,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,375,676 : 300,648,620 = 300,648,620 : x
  2. Step 2: Convert to fraction form
    144,375,676/300,648,620 = 300,648,620/x
  3. Step 3: Cross multiply
    144,375,676x = 300,648,620 × 300,648,620
  4. Step 4: Simplify right side
    144,375,676x = 90,389,592,707,904,400
  5. Step 5: Solve for x
    x = 90,389,592,707,904,400/144,375,676
  6. Step 6: Final answer
    x = 626,072,169.58

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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.