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Finding the Third Proportional to 107,235,538 and 231,477,174

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Solution

The third proportional to 107,235,538 and 231,477,174 is: 499,663,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,235,538 : 231,477,174 = 231,477,174 : x
  2. Step 2: Convert to fraction form
    107,235,538/231,477,174 = 231,477,174/x
  3. Step 3: Cross multiply
    107,235,538x = 231,477,174 × 231,477,174
  4. Step 4: Simplify right side
    107,235,538x = 53,581,682,083,026,272
  5. Step 5: Solve for x
    x = 53,581,682,083,026,272/107,235,538
  6. Step 6: Final answer
    x = 499,663,479.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.