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Finding the Third Proportional to 167,541,217,788 and 235,093,494,951

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Solution

The third proportional to 167,541,217,788 and 235,093,494,951 is: 329,882,712,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,541,217,788 : 235,093,494,951 = 235,093,494,951 : x
  2. Step 2: Convert to fraction form
    167,541,217,788/235,093,494,951 = 235,093,494,951/x
  3. Step 3: Cross multiply
    167,541,217,788x = 235,093,494,951 × 235,093,494,951
  4. Step 4: Simplify right side
    167,541,217,788x = 55,268,951,368,275,863,797,760
  5. Step 5: Solve for x
    x = 55,268,951,368,275,863,797,760/167,541,217,788
  6. Step 6: Final answer
    x = 329,882,712,433.25

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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.