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Finding the Third Proportional to 157,274,659,448 and 346,606,903,096

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Solution

The third proportional to 157,274,659,448 and 346,606,903,096 is: 763,863,331,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,274,659,448 : 346,606,903,096 = 346,606,903,096 : x
  2. Step 2: Convert to fraction form
    157,274,659,448/346,606,903,096 = 346,606,903,096/x
  3. Step 3: Cross multiply
    157,274,659,448x = 346,606,903,096 × 346,606,903,096
  4. Step 4: Simplify right side
    157,274,659,448x = 120,136,345,273,799,926,611,968
  5. Step 5: Solve for x
    x = 120,136,345,273,799,926,611,968/157,274,659,448
  6. Step 6: Final answer
    x = 763,863,331,165.06

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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.