Finding the Third Proportional to 233,233,434 and 510,394,788
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Solution
The third proportional to 233,233,434 and 510,394,788 is: 1,116,918,938.89
Step by Step Solution
- Step 1: Write the proportion equation
233,233,434 : 510,394,788 = 510,394,788 : x - Step 2: Convert to fraction form
233,233,434/510,394,788 = 510,394,788/x - Step 3: Cross multiply
233,233,434x = 510,394,788 × 510,394,788 - Step 4: Simplify right side
233,233,434x = 260,502,839,617,564,928 - Step 5: Solve for x
x = 260,502,839,617,564,928/233,233,434 - Step 6: Final answer
x = 1,116,918,938.89
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.