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Finding the Third Proportional to 104,915,256,072 and 161,162,666,244

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Solution

The third proportional to 104,915,256,072 and 161,162,666,244 is: 247,565,568,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,915,256,072 : 161,162,666,244 = 161,162,666,244 : x
  2. Step 2: Convert to fraction form
    104,915,256,072/161,162,666,244 = 161,162,666,244/x
  3. Step 3: Cross multiply
    104,915,256,072x = 161,162,666,244 × 161,162,666,244
  4. Step 4: Simplify right side
    104,915,256,072x = 25,973,404,990,874,935,361,536
  5. Step 5: Solve for x
    x = 25,973,404,990,874,935,361,536/104,915,256,072
  6. Step 6: Final answer
    x = 247,565,568,281.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.