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Finding the Third Proportional to 178,159,663 and 372,608,912

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Solution

The third proportional to 178,159,663 and 372,608,912 is: 779,286,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,159,663 : 372,608,912 = 372,608,912 : x
  2. Step 2: Convert to fraction form
    178,159,663/372,608,912 = 372,608,912/x
  3. Step 3: Cross multiply
    178,159,663x = 372,608,912 × 372,608,912
  4. Step 4: Simplify right side
    178,159,663x = 138,837,401,301,823,744
  5. Step 5: Solve for x
    x = 138,837,401,301,823,744/178,159,663
  6. Step 6: Final answer
    x = 779,286,393.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.