Finding the Third Proportional to 71,831,312,280 and 101,025,934,831.50
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Solution
The third proportional to 71,831,312,280 and 101,025,934,831.50 is: 142,086,218,177.31
Step by Step Solution
- Step 1: Write the proportion equation
71,831,312,280 : 101,025,934,831.50 = 101,025,934,831.50 : x - Step 2: Convert to fraction form
71,831,312,280/101,025,934,831.50 = 101,025,934,831.50/x - Step 3: Cross multiply
71,831,312,280x = 101,025,934,831.50 × 101,025,934,831.50 - Step 4: Simplify right side
71,831,312,280x = 10,206,239,508,578,485,403,648 - Step 5: Solve for x
x = 10,206,239,508,578,485,403,648/71,831,312,280 - Step 6: Final answer
x = 142,086,218,177.31
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.