Finding the Third Proportional to 180,142,114 and 365,296,894
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Solution
The third proportional to 180,142,114 and 365,296,894 is: 740,758,603.32
Step by Step Solution
- Step 1: Write the proportion equation
180,142,114 : 365,296,894 = 365,296,894 : x - Step 2: Convert to fraction form
180,142,114/365,296,894 = 365,296,894/x - Step 3: Cross multiply
180,142,114x = 365,296,894 × 365,296,894 - Step 4: Simplify right side
180,142,114x = 133,441,820,766,047,232 - Step 5: Solve for x
x = 133,441,820,766,047,232/180,142,114 - Step 6: Final answer
x = 740,758,603.32
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.