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Finding the Third Proportional to 194,980,950 and 428,219,802

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Solution

The third proportional to 194,980,950 and 428,219,802 is: 940,462,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,980,950 : 428,219,802 = 428,219,802 : x
  2. Step 2: Convert to fraction form
    194,980,950/428,219,802 = 428,219,802/x
  3. Step 3: Cross multiply
    194,980,950x = 428,219,802 × 428,219,802
  4. Step 4: Simplify right side
    194,980,950x = 183,372,198,824,919,200
  5. Step 5: Solve for x
    x = 183,372,198,824,919,200/194,980,950
  6. Step 6: Final answer
    x = 940,462,126.30

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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.