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Finding the Third Proportional to 211,045,910.06 and 458,422,651.41

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Solution

The third proportional to 211,045,910.06 and 458,422,651.41 is: 995,761,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,045,910.06 : 458,422,651.41 = 458,422,651.41 : x
  2. Step 2: Convert to fraction form
    211,045,910.06/458,422,651.41 = 458,422,651.41/x
  3. Step 3: Cross multiply
    211,045,910.06x = 458,422,651.41 × 458,422,651.41
  4. Step 4: Simplify right side
    211,045,910.06x = 210,151,327,322,327,040
  5. Step 5: Solve for x
    x = 210,151,327,322,327,040/211,045,910.06
  6. Step 6: Final answer
    x = 995,761,193.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.