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Finding the Third Proportional to 228,014,976 and 488,315,910

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Solution

The third proportional to 228,014,976 and 488,315,910 is: 1,045,775,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,014,976 : 488,315,910 = 488,315,910 : x
  2. Step 2: Convert to fraction form
    228,014,976/488,315,910 = 488,315,910/x
  3. Step 3: Cross multiply
    228,014,976x = 488,315,910 × 488,315,910
  4. Step 4: Simplify right side
    228,014,976x = 238,452,427,959,128,096
  5. Step 5: Solve for x
    x = 238,452,427,959,128,096/228,014,976
  6. Step 6: Final answer
    x = 1,045,775,291.35

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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.