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Finding the Third Proportional to 100,771,920 and 151,131,600

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Solution

The third proportional to 100,771,920 and 151,131,600 is: 226,657,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,771,920 : 151,131,600 = 151,131,600 : x
  2. Step 2: Convert to fraction form
    100,771,920/151,131,600 = 151,131,600/x
  3. Step 3: Cross multiply
    100,771,920x = 151,131,600 × 151,131,600
  4. Step 4: Simplify right side
    100,771,920x = 22,840,760,518,560,000
  5. Step 5: Solve for x
    x = 22,840,760,518,560,000/100,771,920
  6. Step 6: Final answer
    x = 226,657,986.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.