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Finding the Third Proportional to 125,965,010 and 195,505,233

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Solution

The third proportional to 125,965,010 and 195,505,233 is: 303,435,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,965,010 : 195,505,233 = 195,505,233 : x
  2. Step 2: Convert to fraction form
    125,965,010/195,505,233 = 195,505,233/x
  3. Step 3: Cross multiply
    125,965,010x = 195,505,233 × 195,505,233
  4. Step 4: Simplify right side
    125,965,010x = 38,222,296,130,384,288
  5. Step 5: Solve for x
    x = 38,222,296,130,384,288/125,965,010
  6. Step 6: Final answer
    x = 303,435,820.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.