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Finding the Third Proportional to 231,939,971 and 324,438,681

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Solution

The third proportional to 231,939,971 and 324,438,681 is: 453,826,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,939,971 : 324,438,681 = 324,438,681 : x
  2. Step 2: Convert to fraction form
    231,939,971/324,438,681 = 324,438,681/x
  3. Step 3: Cross multiply
    231,939,971x = 324,438,681 × 324,438,681
  4. Step 4: Simplify right side
    231,939,971x = 105,260,457,729,019,760
  5. Step 5: Solve for x
    x = 105,260,457,729,019,760/231,939,971
  6. Step 6: Final answer
    x = 453,826,295.12

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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.