Finding the Third Proportional to 208,241,143,510.50 and 293,249,417,530.50
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Solution
The third proportional to 208,241,143,510.50 and 293,249,417,530.50 is: 412,959,799,549.13
Step by Step Solution
- Step 1: Write the proportion equation
208,241,143,510.50 : 293,249,417,530.50 = 293,249,417,530.50 : x - Step 2: Convert to fraction form
208,241,143,510.50/293,249,417,530.50 = 293,249,417,530.50/x - Step 3: Cross multiply
208,241,143,510.50x = 293,249,417,530.50 × 293,249,417,530.50 - Step 4: Simplify right side
208,241,143,510.50x = 85,995,220,881,977,517,277,184 - Step 5: Solve for x
x = 85,995,220,881,977,517,277,184/208,241,143,510.50 - Step 6: Final answer
x = 412,959,799,549.13
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.