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Finding the Third Proportional to 120,408,984 and 181,741,968

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Solution

The third proportional to 120,408,984 and 181,741,968 is: 274,316,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408,984 : 181,741,968 = 181,741,968 : x
  2. Step 2: Convert to fraction form
    120,408,984/181,741,968 = 181,741,968/x
  3. Step 3: Cross multiply
    120,408,984x = 181,741,968 × 181,741,968
  4. Step 4: Simplify right side
    120,408,984x = 33,030,142,932,513,024
  5. Step 5: Solve for x
    x = 33,030,142,932,513,024/120,408,984
  6. Step 6: Final answer
    x = 274,316,266.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.