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Finding the Third Proportional to 205,534,002 and 300,583,659

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Solution

The third proportional to 205,534,002 and 300,583,659 is: 439,589,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,534,002 : 300,583,659 = 300,583,659 : x
  2. Step 2: Convert to fraction form
    205,534,002/300,583,659 = 300,583,659/x
  3. Step 3: Cross multiply
    205,534,002x = 300,583,659 × 300,583,659
  4. Step 4: Simplify right side
    205,534,002x = 90,350,536,057,828,288
  5. Step 5: Solve for x
    x = 90,350,536,057,828,288/205,534,002
  6. Step 6: Final answer
    x = 439,589,241.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.