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Finding the Third Proportional to 105,100,007 and 245,561,041

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Solution

The third proportional to 105,100,007 and 245,561,041 is: 573,741,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100,007 : 245,561,041 = 245,561,041 : x
  2. Step 2: Convert to fraction form
    105,100,007/245,561,041 = 245,561,041/x
  3. Step 3: Cross multiply
    105,100,007x = 245,561,041 × 245,561,041
  4. Step 4: Simplify right side
    105,100,007x = 60,300,224,857,003,680
  5. Step 5: Solve for x
    x = 60,300,224,857,003,680/105,100,007
  6. Step 6: Final answer
    x = 573,741,397.15

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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.