Finding the Third Proportional to 109,090,737,789 and 254,885,187,202.50
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Solution
The third proportional to 109,090,737,789 and 254,885,187,202.50 is: 595,526,806,142.88
Step by Step Solution
- Step 1: Write the proportion equation
109,090,737,789 : 254,885,187,202.50 = 254,885,187,202.50 : x - Step 2: Convert to fraction form
109,090,737,789/254,885,187,202.50 = 254,885,187,202.50/x - Step 3: Cross multiply
109,090,737,789x = 254,885,187,202.50 × 254,885,187,202.50 - Step 4: Simplify right side
109,090,737,789x = 64,966,458,655,253,473,525,760 - Step 5: Solve for x
x = 64,966,458,655,253,473,525,760/109,090,737,789 - Step 6: Final answer
x = 595,526,806,142.88
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.