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Finding the Third Proportional to 133,729,108 and 291,199,068

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Solution

The third proportional to 133,729,108 and 291,199,068 is: 634,094,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729,108 : 291,199,068 = 291,199,068 : x
  2. Step 2: Convert to fraction form
    133,729,108/291,199,068 = 291,199,068/x
  3. Step 3: Cross multiply
    133,729,108x = 291,199,068 × 291,199,068
  4. Step 4: Simplify right side
    133,729,108x = 84,796,897,204,068,624
  5. Step 5: Solve for x
    x = 84,796,897,204,068,624/133,729,108
  6. Step 6: Final answer
    x = 634,094,539.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.