Finding the Third Proportional to 98,075,468.25 and 208,105,898.63
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Solution
The third proportional to 98,075,468.25 and 208,105,898.63 is: 441,578,978.06
Step by Step Solution
- Step 1: Write the proportion equation
98,075,468.25 : 208,105,898.63 = 208,105,898.63 : x - Step 2: Convert to fraction form
98,075,468.25/208,105,898.63 = 208,105,898.63/x - Step 3: Cross multiply
98,075,468.25x = 208,105,898.63 × 208,105,898.63 - Step 4: Simplify right side
98,075,468.25x = 43,308,065,042,518,776 - Step 5: Solve for x
x = 43,308,065,042,518,776/98,075,468.25 - Step 6: Final answer
x = 441,578,978.06
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.