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Finding the Third Proportional to 105,100,005 and 245,561,036

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Solution

The third proportional to 105,100,005 and 245,561,036 is: 573,741,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100,005 : 245,561,036 = 245,561,036 : x
  2. Step 2: Convert to fraction form
    105,100,005/245,561,036 = 245,561,036/x
  3. Step 3: Cross multiply
    105,100,005x = 245,561,036 × 245,561,036
  4. Step 4: Simplify right side
    105,100,005x = 60,300,222,401,393,296
  5. Step 5: Solve for x
    x = 60,300,222,401,393,296/105,100,005
  6. Step 6: Final answer
    x = 573,741,384.71

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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.