Finding the Third Proportional to 150,656,900 and 213,238,014
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Solution
The third proportional to 150,656,900 and 213,238,014 is: 301,814,590.73
Step by Step Solution
- Step 1: Write the proportion equation
150,656,900 : 213,238,014 = 213,238,014 : x - Step 2: Convert to fraction form
150,656,900/213,238,014 = 213,238,014/x - Step 3: Cross multiply
150,656,900x = 213,238,014 × 213,238,014 - Step 4: Simplify right side
150,656,900x = 45,470,450,614,664,192 - Step 5: Solve for x
x = 45,470,450,614,664,192/150,656,900 - Step 6: Final answer
x = 301,814,590.73
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.