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Finding the Third Proportional to 251,451,592 and 378,113,164

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Solution

The third proportional to 251,451,592 and 378,113,164 is: 568,576,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,451,592 : 378,113,164 = 378,113,164 : x
  2. Step 2: Convert to fraction form
    251,451,592/378,113,164 = 378,113,164/x
  3. Step 3: Cross multiply
    251,451,592x = 378,113,164 × 378,113,164
  4. Step 4: Simplify right side
    251,451,592x = 142,969,564,790,090,896
  5. Step 5: Solve for x
    x = 142,969,564,790,090,896/251,451,592
  6. Step 6: Final answer
    x = 568,576,892.49

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Why These Related Problems?

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