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Finding the Third Proportional to 231,058,192.88 and 513,777,699.56

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Solution

The third proportional to 231,058,192.88 and 513,777,699.56 is: 1,142,428,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,058,192.88 : 513,777,699.56 = 513,777,699.56 : x
  2. Step 2: Convert to fraction form
    231,058,192.88/513,777,699.56 = 513,777,699.56/x
  3. Step 3: Cross multiply
    231,058,192.88x = 513,777,699.56 × 513,777,699.56
  4. Step 4: Simplify right side
    231,058,192.88x = 263,967,524,567,734,528
  5. Step 5: Solve for x
    x = 263,967,524,567,734,528/231,058,192.88
  6. Step 6: Final answer
    x = 1,142,428,759.11

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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.