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Finding the Third Proportional to 120,714,036 and 191,459,936

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Solution

The third proportional to 120,714,036 and 191,459,936 is: 303,667,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714,036 : 191,459,936 = 191,459,936 : x
  2. Step 2: Convert to fraction form
    120,714,036/191,459,936 = 191,459,936/x
  3. Step 3: Cross multiply
    120,714,036x = 191,459,936 × 191,459,936
  4. Step 4: Simplify right side
    120,714,036x = 36,656,907,093,124,096
  5. Step 5: Solve for x
    x = 36,656,907,093,124,096/120,714,036
  6. Step 6: Final answer
    x = 303,667,314.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.