Finding the Third Proportional to 189,038,016 and 283,241,664
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Solution
The third proportional to 189,038,016 and 283,241,664 is: 424,389,982.09
Step by Step Solution
- Step 1: Write the proportion equation
189,038,016 : 283,241,664 = 283,241,664 : x - Step 2: Convert to fraction form
189,038,016/283,241,664 = 283,241,664/x - Step 3: Cross multiply
189,038,016x = 283,241,664 × 283,241,664 - Step 4: Simplify right side
189,038,016x = 80,225,840,225,488,896 - Step 5: Solve for x
x = 80,225,840,225,488,896/189,038,016 - Step 6: Final answer
x = 424,389,982.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.