Finding the Third Proportional to 202,446,998 and 419,249,464
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Solution
The third proportional to 202,446,998 and 419,249,464 is: 868,227,806.79
Step by Step Solution
- Step 1: Write the proportion equation
202,446,998 : 419,249,464 = 419,249,464 : x - Step 2: Convert to fraction form
202,446,998/419,249,464 = 419,249,464/x - Step 3: Cross multiply
202,446,998x = 419,249,464 × 419,249,464 - Step 4: Simplify right side
202,446,998x = 175,770,113,064,287,296 - Step 5: Solve for x
x = 175,770,113,064,287,296/202,446,998 - Step 6: Final answer
x = 868,227,806.79
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.