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Finding the Third Proportional to 283,747,122.56 and 399,404,353.22

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Solution

The third proportional to 283,747,122.56 and 399,404,353.22 is: 562,204,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,747,122.56 : 399,404,353.22 = 399,404,353.22 : x
  2. Step 2: Convert to fraction form
    283,747,122.56/399,404,353.22 = 399,404,353.22/x
  3. Step 3: Cross multiply
    283,747,122.56x = 399,404,353.22 × 399,404,353.22
  4. Step 4: Simplify right side
    283,747,122.56x = 159,523,837,370,096,000
  5. Step 5: Solve for x
    x = 159,523,837,370,096,000/283,747,122.56
  6. Step 6: Final answer
    x = 562,204,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.