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Finding the Third Proportional to 154,989,175,832 and 242,600,391,219

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Solution

The third proportional to 154,989,175,832 and 242,600,391,219 is: 379,735,871,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,989,175,832 : 242,600,391,219 = 242,600,391,219 : x
  2. Step 2: Convert to fraction form
    154,989,175,832/242,600,391,219 = 242,600,391,219/x
  3. Step 3: Cross multiply
    154,989,175,832x = 242,600,391,219 × 242,600,391,219
  4. Step 4: Simplify right side
    154,989,175,832x = 58,854,949,819,611,852,308,480
  5. Step 5: Solve for x
    x = 58,854,949,819,611,852,308,480/154,989,175,832
  6. Step 6: Final answer
    x = 379,735,871,899.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.