Finding the Third Proportional to 462,431,202.19 and 668,133,230.91
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Solution
The third proportional to 462,431,202.19 and 668,133,230.91 is: 965,337,140.16
Step by Step Solution
- Step 1: Write the proportion equation
462,431,202.19 : 668,133,230.91 = 668,133,230.91 : x - Step 2: Convert to fraction form
462,431,202.19/668,133,230.91 = 668,133,230.91/x - Step 3: Cross multiply
462,431,202.19x = 668,133,230.91 × 668,133,230.91 - Step 4: Simplify right side
462,431,202.19x = 446,402,014,241,211,008 - Step 5: Solve for x
x = 446,402,014,241,211,008/462,431,202.19 - Step 6: Final answer
x = 965,337,140.16
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.