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Finding the Third Proportional to 234,131,906 and 504,224,644

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Solution

The third proportional to 234,131,906 and 504,224,644 is: 1,085,894,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,131,906 : 504,224,644 = 504,224,644 : x
  2. Step 2: Convert to fraction form
    234,131,906/504,224,644 = 504,224,644/x
  3. Step 3: Cross multiply
    234,131,906x = 504,224,644 × 504,224,644
  4. Step 4: Simplify right side
    234,131,906x = 254,242,491,616,926,720
  5. Step 5: Solve for x
    x = 254,242,491,616,926,720/234,131,906
  6. Step 6: Final answer
    x = 1,085,894,254.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.