Finding the Third Proportional to 193,298,746,688 and 392,109,167,632
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Solution
The third proportional to 193,298,746,688 and 392,109,167,632 is: 795,398,842,338.20
Step by Step Solution
- Step 1: Write the proportion equation
193,298,746,688 : 392,109,167,632 = 392,109,167,632 : x - Step 2: Convert to fraction form
193,298,746,688/392,109,167,632 = 392,109,167,632/x - Step 3: Cross multiply
193,298,746,688x = 392,109,167,632 × 392,109,167,632 - Step 4: Simplify right side
193,298,746,688x = 153,749,599,341,059,868,983,296 - Step 5: Solve for x
x = 153,749,599,341,059,868,983,296/193,298,746,688 - Step 6: Final answer
x = 795,398,842,338.20
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.