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Finding the Third Proportional to 141,322,536 and 212,691,420

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Solution

The third proportional to 141,322,536 and 212,691,420 is: 320,102,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,322,536 : 212,691,420 = 212,691,420 : x
  2. Step 2: Convert to fraction form
    141,322,536/212,691,420 = 212,691,420/x
  3. Step 3: Cross multiply
    141,322,536x = 212,691,420 × 212,691,420
  4. Step 4: Simplify right side
    141,322,536x = 45,237,640,141,616,400
  5. Step 5: Solve for x
    x = 45,237,640,141,616,400/141,322,536
  6. Step 6: Final answer
    x = 320,102,097.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.