Finding the Third Proportional to 108,105,813 and 233,217,711
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Solution
The third proportional to 108,105,813 and 233,217,711 is: 503,122,812.87
Step by Step Solution
- Step 1: Write the proportion equation
108,105,813 : 233,217,711 = 233,217,711 : x - Step 2: Convert to fraction form
108,105,813/233,217,711 = 233,217,711/x - Step 3: Cross multiply
108,105,813x = 233,217,711 × 233,217,711 - Step 4: Simplify right side
108,105,813x = 54,390,500,724,079,520 - Step 5: Solve for x
x = 54,390,500,724,079,520/108,105,813 - Step 6: Final answer
x = 503,122,812.87
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.