Finding the Third Proportional to 230,382,799.28 and 507,724,950.09
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Solution
The third proportional to 230,382,799.28 and 507,724,950.09 is: 1,118,940,414.63
Step by Step Solution
- Step 1: Write the proportion equation
230,382,799.28 : 507,724,950.09 = 507,724,950.09 : x - Step 2: Convert to fraction form
230,382,799.28/507,724,950.09 = 507,724,950.09/x - Step 3: Cross multiply
230,382,799.28x = 507,724,950.09 × 507,724,950.09 - Step 4: Simplify right side
230,382,799.28x = 257,784,624,947,711,104 - Step 5: Solve for x
x = 257,784,624,947,711,104/230,382,799.28 - Step 6: Final answer
x = 1,118,940,414.63
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.