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Finding the Third Proportional to 208,268,277 and 433,774,770

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Solution

The third proportional to 208,268,277 and 433,774,770 is: 903,452,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,268,277 : 433,774,770 = 433,774,770 : x
  2. Step 2: Convert to fraction form
    208,268,277/433,774,770 = 433,774,770/x
  3. Step 3: Cross multiply
    208,268,277x = 433,774,770 × 433,774,770
  4. Step 4: Simplify right side
    208,268,277x = 188,160,551,088,552,896
  5. Step 5: Solve for x
    x = 188,160,551,088,552,896/208,268,277
  6. Step 6: Final answer
    x = 903,452,766.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.