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Finding the Third Proportional to 194,947,884 and 428,153,922

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Solution

The third proportional to 194,947,884 and 428,153,922 is: 940,332,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,947,884 : 428,153,922 = 428,153,922 : x
  2. Step 2: Convert to fraction form
    194,947,884/428,153,922 = 428,153,922/x
  3. Step 3: Cross multiply
    194,947,884x = 428,153,922 × 428,153,922
  4. Step 4: Simplify right side
    194,947,884x = 183,315,780,923,982,080
  5. Step 5: Solve for x
    x = 183,315,780,923,982,080/194,947,884
  6. Step 6: Final answer
    x = 940,332,242.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.