Finding the Third Proportional to 160,176,215,904 and 242,325,842,112
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Solution
The third proportional to 160,176,215,904 and 242,325,842,112 is: 366,607,572,940.07
Step by Step Solution
- Step 1: Write the proportion equation
160,176,215,904 : 242,325,842,112 = 242,325,842,112 : x - Step 2: Convert to fraction form
160,176,215,904/242,325,842,112 = 242,325,842,112/x - Step 3: Cross multiply
160,176,215,904x = 242,325,842,112 × 242,325,842,112 - Step 4: Simplify right side
160,176,215,904x = 58,721,813,755,289,950,748,672 - Step 5: Solve for x
x = 58,721,813,755,289,950,748,672/160,176,215,904 - Step 6: Final answer
x = 366,607,572,940.07
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.