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Finding the Third Proportional to 218,034,998 and 335,134,812

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Solution

The third proportional to 218,034,998 and 335,134,812 is: 515,125,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,034,998 : 335,134,812 = 335,134,812 : x
  2. Step 2: Convert to fraction form
    218,034,998/335,134,812 = 335,134,812/x
  3. Step 3: Cross multiply
    218,034,998x = 335,134,812 × 335,134,812
  4. Step 4: Simplify right side
    218,034,998x = 112,315,342,214,275,344
  5. Step 5: Solve for x
    x = 112,315,342,214,275,344/218,034,998
  6. Step 6: Final answer
    x = 515,125,292.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.