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Finding the Third Proportional to 253,223,118 and 548,716,869

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Solution

The third proportional to 253,223,118 and 548,716,869 is: 1,189,031,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,223,118 : 548,716,869 = 548,716,869 : x
  2. Step 2: Convert to fraction form
    253,223,118/548,716,869 = 548,716,869/x
  3. Step 3: Cross multiply
    253,223,118x = 548,716,869 × 548,716,869
  4. Step 4: Simplify right side
    253,223,118x = 301,090,202,325,163,136
  5. Step 5: Solve for x
    x = 301,090,202,325,163,136/253,223,118
  6. Step 6: Final answer
    x = 1,189,031,257.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.