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Finding the Third Proportional to 71,088,845,646 and 148,061,673,240

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Solution

The third proportional to 71,088,845,646 and 148,061,673,240 is: 308,378,324,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088,845,646 : 148,061,673,240 = 148,061,673,240 : x
  2. Step 2: Convert to fraction form
    71,088,845,646/148,061,673,240 = 148,061,673,240/x
  3. Step 3: Cross multiply
    71,088,845,646x = 148,061,673,240 × 148,061,673,240
  4. Step 4: Simplify right side
    71,088,845,646x = 21,922,259,082,628,533,583,872
  5. Step 5: Solve for x
    x = 21,922,259,082,628,533,583,872/71,088,845,646
  6. Step 6: Final answer
    x = 308,378,324,101.57

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Why These Related Problems?

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