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Finding the Third Proportional to 144,034,704 and 315,389,412

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Solution

The third proportional to 144,034,704 and 315,389,412 is: 690,600,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,034,704 : 315,389,412 = 315,389,412 : x
  2. Step 2: Convert to fraction form
    144,034,704/315,389,412 = 315,389,412/x
  3. Step 3: Cross multiply
    144,034,704x = 315,389,412 × 315,389,412
  4. Step 4: Simplify right side
    144,034,704x = 99,470,481,201,705,744
  5. Step 5: Solve for x
    x = 99,470,481,201,705,744/144,034,704
  6. Step 6: Final answer
    x = 690,600,795.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.