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Finding the Third Proportional to 228,014,978 and 488,315,914

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Solution

The third proportional to 228,014,978 and 488,315,914 is: 1,045,775,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,014,978 : 488,315,914 = 488,315,914 : x
  2. Step 2: Convert to fraction form
    228,014,978/488,315,914 = 488,315,914/x
  3. Step 3: Cross multiply
    228,014,978x = 488,315,914 × 488,315,914
  4. Step 4: Simplify right side
    228,014,978x = 238,452,431,865,655,392
  5. Step 5: Solve for x
    x = 238,452,431,865,655,392/228,014,978
  6. Step 6: Final answer
    x = 1,045,775,299.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.