Finding the Third Proportional to 105,857,406 and 229,307,850
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Solution
The third proportional to 105,857,406 and 229,307,850 is: 496,725,661.99
Step by Step Solution
- Step 1: Write the proportion equation
105,857,406 : 229,307,850 = 229,307,850 : x - Step 2: Convert to fraction form
105,857,406/229,307,850 = 229,307,850/x - Step 3: Cross multiply
105,857,406x = 229,307,850 × 229,307,850 - Step 4: Simplify right side
105,857,406x = 52,582,090,071,622,496 - Step 5: Solve for x
x = 52,582,090,071,622,496/105,857,406 - Step 6: Final answer
x = 496,725,661.99
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.