Finding the Third Proportional to 214,620,106 and 464,894,804
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Solution
The third proportional to 214,620,106 and 464,894,804 is: 1,007,022,048.47
Step by Step Solution
- Step 1: Write the proportion equation
214,620,106 : 464,894,804 = 464,894,804 : x - Step 2: Convert to fraction form
214,620,106/464,894,804 = 464,894,804/x - Step 3: Cross multiply
214,620,106x = 464,894,804 × 464,894,804 - Step 4: Simplify right side
214,620,106x = 216,127,178,786,198,400 - Step 5: Solve for x
x = 216,127,178,786,198,400/214,620,106 - Step 6: Final answer
x = 1,007,022,048.47
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.