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Finding the Third Proportional to 356,188,205.25 and 537,085,161

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Solution

The third proportional to 356,188,205.25 and 537,085,161 is: 809,854,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,188,205.25 : 537,085,161 = 537,085,161 : x
  2. Step 2: Convert to fraction form
    356,188,205.25/537,085,161 = 537,085,161/x
  3. Step 3: Cross multiply
    356,188,205.25x = 537,085,161 × 537,085,161
  4. Step 4: Simplify right side
    356,188,205.25x = 288,460,470,166,395,904
  5. Step 5: Solve for x
    x = 288,460,470,166,395,904/356,188,205.25
  6. Step 6: Final answer
    x = 809,854,076.90

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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.