Finding the Third Proportional to 106,289,323 and 159,433,984
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Solution
The third proportional to 106,289,323 and 159,433,984 is: 239,150,975.25
Step by Step Solution
- Step 1: Write the proportion equation
106,289,323 : 159,433,984 = 159,433,984 : x - Step 2: Convert to fraction form
106,289,323/159,433,984 = 159,433,984/x - Step 3: Cross multiply
106,289,323x = 159,433,984 × 159,433,984 - Step 4: Simplify right side
106,289,323x = 25,419,195,254,112,256 - Step 5: Solve for x
x = 25,419,195,254,112,256/106,289,323 - Step 6: Final answer
x = 239,150,975.25
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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.