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Finding the Third Proportional to 167,541,217,668 and 235,093,494,804.75

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Solution

The third proportional to 167,541,217,668 and 235,093,494,804.75 is: 329,882,712,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,541,217,668 : 235,093,494,804.75 = 235,093,494,804.75 : x
  2. Step 2: Convert to fraction form
    167,541,217,668/235,093,494,804.75 = 235,093,494,804.75/x
  3. Step 3: Cross multiply
    167,541,217,668x = 235,093,494,804.75 × 235,093,494,804.75
  4. Step 4: Simplify right side
    167,541,217,668x = 55,268,951,299,511,013,081,088
  5. Step 5: Solve for x
    x = 55,268,951,299,511,013,081,088/167,541,217,668
  6. Step 6: Final answer
    x = 329,882,712,259.09

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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.