Finding the Third Proportional to 200,657,363.25 and 440,774,220.75
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Solution
The third proportional to 200,657,363.25 and 440,774,220.75 is: 968,227,183.55
Step by Step Solution
- Step 1: Write the proportion equation
200,657,363.25 : 440,774,220.75 = 440,774,220.75 : x - Step 2: Convert to fraction form
200,657,363.25/440,774,220.75 = 440,774,220.75/x - Step 3: Cross multiply
200,657,363.25x = 440,774,220.75 × 440,774,220.75 - Step 4: Simplify right side
200,657,363.25x = 194,281,913,677,769,728 - Step 5: Solve for x
x = 194,281,913,677,769,728/200,657,363.25 - Step 6: Final answer
x = 968,227,183.55
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.