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Finding the Third Proportional to 71,088,845,640 and 148,061,673,228

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Solution

The third proportional to 71,088,845,640 and 148,061,673,228 is: 308,378,324,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088,845,640 : 148,061,673,228 = 148,061,673,228 : x
  2. Step 2: Convert to fraction form
    71,088,845,640/148,061,673,228 = 148,061,673,228/x
  3. Step 3: Cross multiply
    71,088,845,640x = 148,061,673,228 × 148,061,673,228
  4. Step 4: Simplify right side
    71,088,845,640x = 21,922,259,079,075,052,126,208
  5. Step 5: Solve for x
    x = 21,922,259,079,075,052,126,208/71,088,845,640
  6. Step 6: Final answer
    x = 308,378,324,077.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.