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Finding the Third Proportional to 211,079,932 and 322,897,302

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Solution

The third proportional to 211,079,932 and 322,897,302 is: 493,948,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,079,932 : 322,897,302 = 322,897,302 : x
  2. Step 2: Convert to fraction form
    211,079,932/322,897,302 = 322,897,302/x
  3. Step 3: Cross multiply
    211,079,932x = 322,897,302 × 322,897,302
  4. Step 4: Simplify right side
    211,079,932x = 104,262,667,638,879,200
  5. Step 5: Solve for x
    x = 104,262,667,638,879,200/211,079,932
  6. Step 6: Final answer
    x = 493,948,745.63

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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.