Finding the Third Proportional to 97,478,838 and 214,090,650
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Solution
The third proportional to 97,478,838 and 214,090,650 is: 470,202,634.31
Step by Step Solution
- Step 1: Write the proportion equation
97,478,838 : 214,090,650 = 214,090,650 : x - Step 2: Convert to fraction form
97,478,838/214,090,650 = 214,090,650/x - Step 3: Cross multiply
97,478,838x = 214,090,650 × 214,090,650 - Step 4: Simplify right side
97,478,838x = 45,834,806,417,422,496 - Step 5: Solve for x
x = 45,834,806,417,422,496/97,478,838 - Step 6: Final answer
x = 470,202,634.31
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.