Finding the Third Proportional to 216,310,769,671.50 and 317,986,427,223
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Solution
The third proportional to 216,310,769,671.50 and 317,986,427,223 is: 467,454,154,278.16
Step by Step Solution
- Step 1: Write the proportion equation
216,310,769,671.50 : 317,986,427,223 = 317,986,427,223 : x - Step 2: Convert to fraction form
216,310,769,671.50/317,986,427,223 = 317,986,427,223/x - Step 3: Cross multiply
216,310,769,671.50x = 317,986,427,223 × 317,986,427,223 - Step 4: Simplify right side
216,310,769,671.50x = 101,115,367,898,048,274,366,464 - Step 5: Solve for x
x = 101,115,367,898,048,274,366,464/216,310,769,671.50 - Step 6: Final answer
x = 467,454,154,278.16
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.