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Finding the Third Proportional to 120,744,066 and 188,290,539

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Solution

The third proportional to 120,744,066 and 188,290,539 is: 293,623,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,066 : 188,290,539 = 188,290,539 : x
  2. Step 2: Convert to fraction form
    120,744,066/188,290,539 = 188,290,539/x
  3. Step 3: Cross multiply
    120,744,066x = 188,290,539 × 188,290,539
  4. Step 4: Simplify right side
    120,744,066x = 35,453,327,076,910,520
  5. Step 5: Solve for x
    x = 35,453,327,076,910,520/120,744,066
  6. Step 6: Final answer
    x = 293,623,763.48

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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.