Finding the Third Proportional to 102,604,300,699 and 220,650,195,825
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Solution
The third proportional to 102,604,300,699 and 220,650,195,825 is: 474,507,487,365.83
Step by Step Solution
- Step 1: Write the proportion equation
102,604,300,699 : 220,650,195,825 = 220,650,195,825 : x - Step 2: Convert to fraction form
102,604,300,699/220,650,195,825 = 220,650,195,825/x - Step 3: Cross multiply
102,604,300,699x = 220,650,195,825 × 220,650,195,825 - Step 4: Simplify right side
102,604,300,699x = 48,686,508,917,610,847,928,320 - Step 5: Solve for x
x = 48,686,508,917,610,847,928,320/102,604,300,699 - Step 6: Final answer
x = 474,507,487,365.83
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.