Finding the Third Proportional to 97,678.41 and 207,347.34
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Solution
The third proportional to 97,678.41 and 207,347.34 is: 440,147.65
Step by Step Solution
- Step 1: Write the proportion equation
97,678.41 : 207,347.34 = 207,347.34 : x - Step 2: Convert to fraction form
97,678.41/207,347.34 = 207,347.34/x - Step 3: Cross multiply
97,678.41x = 207,347.34 × 207,347.34 - Step 4: Simplify right side
97,678.41x = 42,992,920,960.18 - Step 5: Solve for x
x = 42,992,920,960.18/97,678.41 - Step 6: Final answer
x = 440,147.65
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.