Finding the Third Proportional to 202,164,212 and 288,897,342
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Solution
The third proportional to 202,164,212 and 288,897,342 is: 412,840,993.91
Step by Step Solution
- Step 1: Write the proportion equation
202,164,212 : 288,897,342 = 288,897,342 : x - Step 2: Convert to fraction form
202,164,212/288,897,342 = 288,897,342/x - Step 3: Cross multiply
202,164,212x = 288,897,342 × 288,897,342 - Step 4: Simplify right side
202,164,212x = 83,461,674,214,664,960 - Step 5: Solve for x
x = 83,461,674,214,664,960/202,164,212 - Step 6: Final answer
x = 412,840,993.91
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.