Finding the Third Proportional to 100,139,814 and 214,651,620
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Solution
The third proportional to 100,139,814 and 214,651,620 is: 460,109,881.66
Step by Step Solution
- Step 1: Write the proportion equation
100,139,814 : 214,651,620 = 214,651,620 : x - Step 2: Convert to fraction form
100,139,814/214,651,620 = 214,651,620/x - Step 3: Cross multiply
100,139,814x = 214,651,620 × 214,651,620 - Step 4: Simplify right side
100,139,814x = 46,075,317,968,624,400 - Step 5: Solve for x
x = 46,075,317,968,624,400/100,139,814 - Step 6: Final answer
x = 460,109,881.66
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.