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Finding the Third Proportional to 170,639,826.75 and 257,753,039.25

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Solution

The third proportional to 170,639,826.75 and 257,753,039.25 is: 389,338,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,639,826.75 : 257,753,039.25 = 257,753,039.25 : x
  2. Step 2: Convert to fraction form
    170,639,826.75/257,753,039.25 = 257,753,039.25/x
  3. Step 3: Cross multiply
    170,639,826.75x = 257,753,039.25 × 257,753,039.25
  4. Step 4: Simplify right side
    170,639,826.75x = 66,436,629,242,612,040
  5. Step 5: Solve for x
    x = 66,436,629,242,612,040/170,639,826.75
  6. Step 6: Final answer
    x = 389,338,353.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.