Finding the Third Proportional to 106,007,762 and 229,036,178
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Solution
The third proportional to 106,007,762 and 229,036,178 is: 494,846,507.87
Step by Step Solution
- Step 1: Write the proportion equation
106,007,762 : 229,036,178 = 229,036,178 : x - Step 2: Convert to fraction form
106,007,762/229,036,178 = 229,036,178/x - Step 3: Cross multiply
106,007,762x = 229,036,178 × 229,036,178 - Step 4: Simplify right side
106,007,762x = 52,457,570,832,847,680 - Step 5: Solve for x
x = 52,457,570,832,847,680/106,007,762 - Step 6: Final answer
x = 494,846,507.87
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.