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Finding the Third Proportional to 120,743,795 and 188,290,147

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Solution

The third proportional to 120,743,795 and 188,290,147 is: 293,623,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,795 : 188,290,147 = 188,290,147 : x
  2. Step 2: Convert to fraction form
    120,743,795/188,290,147 = 188,290,147/x
  3. Step 3: Cross multiply
    120,743,795x = 188,290,147 × 188,290,147
  4. Step 4: Simplify right side
    120,743,795x = 35,453,179,457,281,608
  5. Step 5: Solve for x
    x = 35,453,179,457,281,608/120,743,795
  6. Step 6: Final answer
    x = 293,623,199.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.