Finding the Third Proportional to 202,163,981.63 and 288,897,008.06
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Solution
The third proportional to 202,163,981.63 and 288,897,008.06 is: 412,840,509.95
Step by Step Solution
- Step 1: Write the proportion equation
202,163,981.63 : 288,897,008.06 = 288,897,008.06 : x - Step 2: Convert to fraction form
202,163,981.63/288,897,008.06 = 288,897,008.06/x - Step 3: Cross multiply
202,163,981.63x = 288,897,008.06 × 288,897,008.06 - Step 4: Simplify right side
202,163,981.63x = 83,461,481,267,464,192 - Step 5: Solve for x
x = 83,461,481,267,464,192/202,163,981.63 - Step 6: Final answer
x = 412,840,509.95
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.