Finding the Third Proportional to 106,083,076 and 227,666,528
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Solution
The third proportional to 106,083,076 and 227,666,528 is: 488,598,652.36
Step by Step Solution
- Step 1: Write the proportion equation
106,083,076 : 227,666,528 = 227,666,528 : x - Step 2: Convert to fraction form
106,083,076/227,666,528 = 227,666,528/x - Step 3: Cross multiply
106,083,076x = 227,666,528 × 227,666,528 - Step 4: Simplify right side
106,083,076x = 51,832,047,971,574,784 - Step 5: Solve for x
x = 51,832,047,971,574,784/106,083,076 - Step 6: Final answer
x = 488,598,652.36
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.