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Finding the Third Proportional to 135,175,072,803 and 281,474,489,503

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Solution

The third proportional to 135,175,072,803 and 281,474,489,503 is: 586,113,153,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,175,072,803 : 281,474,489,503 = 281,474,489,503 : x
  2. Step 2: Convert to fraction form
    135,175,072,803/281,474,489,503 = 281,474,489,503/x
  3. Step 3: Cross multiply
    135,175,072,803x = 281,474,489,503 × 281,474,489,503
  4. Step 4: Simplify right side
    135,175,072,803x = 79,227,888,240,974,465,335,296
  5. Step 5: Solve for x
    x = 79,227,888,240,974,465,335,296/135,175,072,803
  6. Step 6: Final answer
    x = 586,113,153,838.94

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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.