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Finding the Third Proportional to 178,224,147 and 283,589,662.50

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Solution

The third proportional to 178,224,147 and 283,589,662.50 is: 451,246,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224,147 : 283,589,662.50 = 283,589,662.50 : x
  2. Step 2: Convert to fraction form
    178,224,147/283,589,662.50 = 283,589,662.50/x
  3. Step 3: Cross multiply
    178,224,147x = 283,589,662.50 × 283,589,662.50
  4. Step 4: Simplify right side
    178,224,147x = 80,423,096,676,863,904
  5. Step 5: Solve for x
    x = 80,423,096,676,863,904/178,224,147
  6. Step 6: Final answer
    x = 451,246,915.92

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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.