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Finding the Third Proportional to 201,083,949 and 433,911,096

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Solution

The third proportional to 201,083,949 and 433,911,096 is: 936,319,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,083,949 : 433,911,096 = 433,911,096 : x
  2. Step 2: Convert to fraction form
    201,083,949/433,911,096 = 433,911,096/x
  3. Step 3: Cross multiply
    201,083,949x = 433,911,096 × 433,911,096
  4. Step 4: Simplify right side
    201,083,949x = 188,278,839,231,921,216
  5. Step 5: Solve for x
    x = 188,278,839,231,921,216/201,083,949
  6. Step 6: Final answer
    x = 936,319,582.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.