Finding the Third Proportional to 156,501,758,112 and 343,748,736,144
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Solution
The third proportional to 156,501,758,112 and 343,748,736,144 is: 755,027,898,894.49
Step by Step Solution
- Step 1: Write the proportion equation
156,501,758,112 : 343,748,736,144 = 343,748,736,144 : x - Step 2: Convert to fraction form
156,501,758,112/343,748,736,144 = 343,748,736,144/x - Step 3: Cross multiply
156,501,758,112x = 343,748,736,144 × 343,748,736,144 - Step 4: Simplify right side
156,501,758,112x = 118,163,193,600,597,337,047,040 - Step 5: Solve for x
x = 118,163,193,600,597,337,047,040/156,501,758,112 - Step 6: Final answer
x = 755,027,898,894.49
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.