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Finding the Third Proportional to 273,861,099 and 424,204,297.13

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Solution

The third proportional to 273,861,099 and 424,204,297.13 is: 657,082,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,861,099 : 424,204,297.13 = 424,204,297.13 : x
  2. Step 2: Convert to fraction form
    273,861,099/424,204,297.13 = 424,204,297.13/x
  3. Step 3: Cross multiply
    273,861,099x = 424,204,297.13 × 424,204,297.13
  4. Step 4: Simplify right side
    273,861,099x = 179,949,285,699,315,296
  5. Step 5: Solve for x
    x = 179,949,285,699,315,296/273,861,099
  6. Step 6: Final answer
    x = 657,082,317.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.