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Finding the Third Proportional to 164,307,638 and 234,945,093

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Solution

The third proportional to 164,307,638 and 234,945,093 is: 335,950,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,307,638 : 234,945,093 = 234,945,093 : x
  2. Step 2: Convert to fraction form
    164,307,638/234,945,093 = 234,945,093/x
  3. Step 3: Cross multiply
    164,307,638x = 234,945,093 × 234,945,093
  4. Step 4: Simplify right side
    164,307,638x = 55,199,196,724,778,648
  5. Step 5: Solve for x
    x = 55,199,196,724,778,648/164,307,638
  6. Step 6: Final answer
    x = 335,950,278.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.