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Finding the Third Proportional to 307,183,109.25 and 449,278,536

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Solution

The third proportional to 307,183,109.25 and 449,278,536 is: 657,103,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,183,109.25 : 449,278,536 = 449,278,536 : x
  2. Step 2: Convert to fraction form
    307,183,109.25/449,278,536 = 449,278,536/x
  3. Step 3: Cross multiply
    307,183,109.25x = 449,278,536 × 449,278,536
  4. Step 4: Simplify right side
    307,183,109.25x = 201,851,202,910,303,296
  5. Step 5: Solve for x
    x = 201,851,202,910,303,296/307,183,109.25
  6. Step 6: Final answer
    x = 657,103,847.29

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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.