Finding the Third Proportional to 144,053,824 and 316,106,090
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Solution
The third proportional to 144,053,824 and 316,106,090 is: 693,650,868.55
Step by Step Solution
- Step 1: Write the proportion equation
144,053,824 : 316,106,090 = 316,106,090 : x - Step 2: Convert to fraction form
144,053,824/316,106,090 = 316,106,090/x - Step 3: Cross multiply
144,053,824x = 316,106,090 × 316,106,090 - Step 4: Simplify right side
144,053,824x = 99,923,060,135,088,096 - Step 5: Solve for x
x = 99,923,060,135,088,096/144,053,824 - Step 6: Final answer
x = 693,650,868.55
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.