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Finding the Third Proportional to 419,261,590.50 and 908,396,047.50

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Solution

The third proportional to 419,261,590.50 and 908,396,047.50 is: 1,968,182,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,261,590.50 : 908,396,047.50 = 908,396,047.50 : x
  2. Step 2: Convert to fraction form
    419,261,590.50/908,396,047.50 = 908,396,047.50/x
  3. Step 3: Cross multiply
    419,261,590.50x = 908,396,047.50 × 908,396,047.50
  4. Step 4: Simplify right side
    419,261,590.50x = 825,183,379,113,622,272
  5. Step 5: Solve for x
    x = 825,183,379,113,622,272/419,261,590.50
  6. Step 6: Final answer
    x = 1,968,182,628.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.