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Finding the Third Proportional to 51,825,675 and 113,414,166

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Solution

The third proportional to 51,825,675 and 113,414,166 is: 248,193,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,675 : 113,414,166 = 113,414,166 : x
  2. Step 2: Convert to fraction form
    51,825,675/113,414,166 = 113,414,166/x
  3. Step 3: Cross multiply
    51,825,675x = 113,414,166 × 113,414,166
  4. Step 4: Simplify right side
    51,825,675x = 12,862,773,049,475,556
  5. Step 5: Solve for x
    x = 12,862,773,049,475,556/51,825,675
  6. Step 6: Final answer
    x = 248,193,063.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.