Finding the Third Proportional to 47,749,440.75 and 102,305,898.75
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Solution
The third proportional to 47,749,440.75 and 102,305,898.75 is: 219,196,219.99
Step by Step Solution
- Step 1: Write the proportion equation
47,749,440.75 : 102,305,898.75 = 102,305,898.75 : x - Step 2: Convert to fraction form
47,749,440.75/102,305,898.75 = 102,305,898.75/x - Step 3: Cross multiply
47,749,440.75x = 102,305,898.75 × 102,305,898.75 - Step 4: Simplify right side
47,749,440.75x = 10,466,496,919,045,252 - Step 5: Solve for x
x = 10,466,496,919,045,252/47,749,440.75 - Step 6: Final answer
x = 219,196,219.99
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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.