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Finding the Third Proportional to 182,505,603 and 405,815,658

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Solution

The third proportional to 182,505,603 and 405,815,658 is: 902,363,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,505,603 : 405,815,658 = 405,815,658 : x
  2. Step 2: Convert to fraction form
    182,505,603/405,815,658 = 405,815,658/x
  3. Step 3: Cross multiply
    182,505,603x = 405,815,658 × 405,815,658
  4. Step 4: Simplify right side
    182,505,603x = 164,686,348,277,972,960
  5. Step 5: Solve for x
    x = 164,686,348,277,972,960/182,505,603
  6. Step 6: Final answer
    x = 902,363,245.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.