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Finding the Third Proportional to 128,199,268 and 260,929,176

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Solution

The third proportional to 128,199,268 and 260,929,176 is: 531,079,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,199,268 : 260,929,176 = 260,929,176 : x
  2. Step 2: Convert to fraction form
    128,199,268/260,929,176 = 260,929,176/x
  3. Step 3: Cross multiply
    128,199,268x = 260,929,176 × 260,929,176
  4. Step 4: Simplify right side
    128,199,268x = 68,084,034,888,038,976
  5. Step 5: Solve for x
    x = 68,084,034,888,038,976/128,199,268
  6. Step 6: Final answer
    x = 531,079,747.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.