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Finding the Third Proportional to 211,268,668.50 and 451,612,199.25

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Solution

The third proportional to 211,268,668.50 and 451,612,199.25 is: 965,375,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,268,668.50 : 451,612,199.25 = 451,612,199.25 : x
  2. Step 2: Convert to fraction form
    211,268,668.50/451,612,199.25 = 451,612,199.25/x
  3. Step 3: Cross multiply
    211,268,668.50x = 451,612,199.25 × 451,612,199.25
  4. Step 4: Simplify right side
    211,268,668.50x = 203,953,578,511,421,696
  5. Step 5: Solve for x
    x = 203,953,578,511,421,696/211,268,668.50
  6. Step 6: Final answer
    x = 965,375,414.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.