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Finding the Third Proportional to 194,847,575 and 428,264,110

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Solution

The third proportional to 194,847,575 and 428,264,110 is: 941,300,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,847,575 : 428,264,110 = 428,264,110 : x
  2. Step 2: Convert to fraction form
    194,847,575/428,264,110 = 428,264,110/x
  3. Step 3: Cross multiply
    194,847,575x = 428,264,110 × 428,264,110
  4. Step 4: Simplify right side
    194,847,575x = 183,410,147,914,092,096
  5. Step 5: Solve for x
    x = 183,410,147,914,092,096/194,847,575
  6. Step 6: Final answer
    x = 941,300,644.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.