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Finding the Third Proportional to 165,285,706 and 360,332,150

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Solution

The third proportional to 165,285,706 and 360,332,150 is: 785,544,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,285,706 : 360,332,150 = 360,332,150 : x
  2. Step 2: Convert to fraction form
    165,285,706/360,332,150 = 360,332,150/x
  3. Step 3: Cross multiply
    165,285,706x = 360,332,150 × 360,332,150
  4. Step 4: Simplify right side
    165,285,706x = 129,839,258,323,622,496
  5. Step 5: Solve for x
    x = 129,839,258,323,622,496/165,285,706
  6. Step 6: Final answer
    x = 785,544,385.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.