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Finding the Third Proportional to 105,100,003 and 245,561,031

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Solution

The third proportional to 105,100,003 and 245,561,031 is: 573,741,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100,003 : 245,561,031 = 245,561,031 : x
  2. Step 2: Convert to fraction form
    105,100,003/245,561,031 = 245,561,031/x
  3. Step 3: Cross multiply
    105,100,003x = 245,561,031 × 245,561,031
  4. Step 4: Simplify right side
    105,100,003x = 60,300,219,945,782,960
  5. Step 5: Solve for x
    x = 60,300,219,945,782,960/105,100,003
  6. Step 6: Final answer
    x = 573,741,372.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.