Finding the Third Proportional to 106,218,446,804 and 216,703,679,194
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Solution
The third proportional to 106,218,446,804 and 216,703,679,194 is: 442,112,325,958.50
Step by Step Solution
- Step 1: Write the proportion equation
106,218,446,804 : 216,703,679,194 = 216,703,679,194 : x - Step 2: Convert to fraction form
106,218,446,804/216,703,679,194 = 216,703,679,194/x - Step 3: Cross multiply
106,218,446,804x = 216,703,679,194 × 216,703,679,194 - Step 4: Simplify right side
106,218,446,804x = 46,960,484,576,216,066,555,904 - Step 5: Solve for x
x = 46,960,484,576,216,066,555,904/106,218,446,804 - Step 6: Final answer
x = 442,112,325,958.50
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.