Finding the Third Proportional to 198,354,834 and 463,191,012
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Solution
The third proportional to 198,354,834 and 463,191,012 is: 1,081,626,846.55
Step by Step Solution
- Step 1: Write the proportion equation
198,354,834 : 463,191,012 = 463,191,012 : x - Step 2: Convert to fraction form
198,354,834/463,191,012 = 463,191,012/x - Step 3: Cross multiply
198,354,834x = 463,191,012 × 463,191,012 - Step 4: Simplify right side
198,354,834x = 214,545,913,597,584,128 - Step 5: Solve for x
x = 214,545,913,597,584,128/198,354,834 - Step 6: Final answer
x = 1,081,626,846.55
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.