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Finding the Third Proportional to 175,060,608 and 405,233,619

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Solution

The third proportional to 175,060,608 and 405,233,619 is: 938,042,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,060,608 : 405,233,619 = 405,233,619 : x
  2. Step 2: Convert to fraction form
    175,060,608/405,233,619 = 405,233,619/x
  3. Step 3: Cross multiply
    175,060,608x = 405,233,619 × 405,233,619
  4. Step 4: Simplify right side
    175,060,608x = 164,214,285,967,837,152
  5. Step 5: Solve for x
    x = 164,214,285,967,837,152/175,060,608
  6. Step 6: Final answer
    x = 938,042,474.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.