Finding the Third Proportional to 299,294,358 and 643,145,196
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Solution
The third proportional to 299,294,358 and 643,145,196 is: 1,382,036,553.92
Step by Step Solution
- Step 1: Write the proportion equation
299,294,358 : 643,145,196 = 643,145,196 : x - Step 2: Convert to fraction form
299,294,358/643,145,196 = 643,145,196/x - Step 3: Cross multiply
299,294,358x = 643,145,196 × 643,145,196 - Step 4: Simplify right side
299,294,358x = 413,635,743,137,878,400 - Step 5: Solve for x
x = 413,635,743,137,878,400/299,294,358 - Step 6: Final answer
x = 1,382,036,553.92
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.