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Finding the Third Proportional to 231,939,985 and 324,438,702

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Solution

The third proportional to 231,939,985 and 324,438,702 is: 453,826,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,939,985 : 324,438,702 = 324,438,702 : x
  2. Step 2: Convert to fraction form
    231,939,985/324,438,702 = 324,438,702/x
  3. Step 3: Cross multiply
    231,939,985x = 324,438,702 × 324,438,702
  4. Step 4: Simplify right side
    231,939,985x = 105,260,471,355,444,800
  5. Step 5: Solve for x
    x = 105,260,471,355,444,800/231,939,985
  6. Step 6: Final answer
    x = 453,826,326.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.