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Finding the Third Proportional to 185,765,777 and 259,850,511

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Solution

The third proportional to 185,765,777 and 259,850,511 is: 363,480,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,765,777 : 259,850,511 = 259,850,511 : x
  2. Step 2: Convert to fraction form
    185,765,777/259,850,511 = 259,850,511/x
  3. Step 3: Cross multiply
    185,765,777x = 259,850,511 × 259,850,511
  4. Step 4: Simplify right side
    185,765,777x = 67,522,288,066,961,120
  5. Step 5: Solve for x
    x = 67,522,288,066,961,120/185,765,777
  6. Step 6: Final answer
    x = 363,480,772.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.