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Finding the Third Proportional to 211,477,893.82 and 323,295,194.32

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Solution

The third proportional to 211,477,893.82 and 323,295,194.32 is: 494,235,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477,893.82 : 323,295,194.32 = 323,295,194.32 : x
  2. Step 2: Convert to fraction form
    211,477,893.82/323,295,194.32 = 323,295,194.32/x
  3. Step 3: Cross multiply
    211,477,893.82x = 323,295,194.32 × 323,295,194.32
  4. Step 4: Simplify right side
    211,477,893.82x = 104,519,782,670,613,472
  5. Step 5: Solve for x
    x = 104,519,782,670,613,472/211,477,893.82
  6. Step 6: Final answer
    x = 494,235,027.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.