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Finding the Third Proportional to 45,213,568 and 95,230,112

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Solution

The third proportional to 45,213,568 and 95,230,112 is: 200,576,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,213,568 : 95,230,112 = 95,230,112 : x
  2. Step 2: Convert to fraction form
    45,213,568/95,230,112 = 95,230,112/x
  3. Step 3: Cross multiply
    45,213,568x = 95,230,112 × 95,230,112
  4. Step 4: Simplify right side
    45,213,568x = 9,068,774,231,532,544
  5. Step 5: Solve for x
    x = 9,068,774,231,532,544/45,213,568
  6. Step 6: Final answer
    x = 200,576,389.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.