Finding the Third Proportional to 146,283,319.41 and 214,575,512.91
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Solution
The third proportional to 146,283,319.41 and 214,575,512.91 is: 314,749,835.63
Step by Step Solution
- Step 1: Write the proportion equation
146,283,319.41 : 214,575,512.91 = 214,575,512.91 : x - Step 2: Convert to fraction form
146,283,319.41/214,575,512.91 = 214,575,512.91/x - Step 3: Cross multiply
146,283,319.41x = 214,575,512.91 × 214,575,512.91 - Step 4: Simplify right side
146,283,319.41x = 46,042,650,738,980,264 - Step 5: Solve for x
x = 46,042,650,738,980,264/146,283,319.41 - Step 6: Final answer
x = 314,749,835.63
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.