Finding the Third Proportional to 199,529,385,440 and 434,183,989,312
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Solution
The third proportional to 199,529,385,440 and 434,183,989,312 is: 944,801,870,457.18
Step by Step Solution
- Step 1: Write the proportion equation
199,529,385,440 : 434,183,989,312 = 434,183,989,312 : x - Step 2: Convert to fraction form
199,529,385,440/434,183,989,312 = 434,183,989,312/x - Step 3: Cross multiply
199,529,385,440x = 434,183,989,312 × 434,183,989,312 - Step 4: Simplify right side
199,529,385,440x = 188,515,736,574,882,943,598,592 - Step 5: Solve for x
x = 188,515,736,574,882,943,598,592/199,529,385,440 - Step 6: Final answer
x = 944,801,870,457.18
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.