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Finding the Third Proportional to 170,052,736.50 and 255,034,818

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Solution

The third proportional to 170,052,736.50 and 255,034,818 is: 382,485,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,052,736.50 : 255,034,818 = 255,034,818 : x
  2. Step 2: Convert to fraction form
    170,052,736.50/255,034,818 = 255,034,818/x
  3. Step 3: Cross multiply
    170,052,736.50x = 255,034,818 × 255,034,818
  4. Step 4: Simplify right side
    170,052,736.50x = 65,042,758,392,293,120
  5. Step 5: Solve for x
    x = 65,042,758,392,293,120/170,052,736.50
  6. Step 6: Final answer
    x = 382,485,808.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.