Finding the Third Proportional to 180,453,707.44 and 386,806,164.75
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Solution
The third proportional to 180,453,707.44 and 386,806,164.75 is: 829,126,822.68
Step by Step Solution
- Step 1: Write the proportion equation
180,453,707.44 : 386,806,164.75 = 386,806,164.75 : x - Step 2: Convert to fraction form
180,453,707.44/386,806,164.75 = 386,806,164.75/x - Step 3: Cross multiply
180,453,707.44x = 386,806,164.75 × 386,806,164.75 - Step 4: Simplify right side
180,453,707.44x = 149,619,009,088,604,128 - Step 5: Solve for x
x = 149,619,009,088,604,128/180,453,707.44 - Step 6: Final answer
x = 829,126,822.68
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.