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Finding the Third Proportional to 90,056,508 and 212,378,256

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Solution

The third proportional to 90,056,508 and 212,378,256 is: 500,846,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,056,508 : 212,378,256 = 212,378,256 : x
  2. Step 2: Convert to fraction form
    90,056,508/212,378,256 = 212,378,256/x
  3. Step 3: Cross multiply
    90,056,508x = 212,378,256 × 212,378,256
  4. Step 4: Simplify right side
    90,056,508x = 45,104,523,621,601,536
  5. Step 5: Solve for x
    x = 45,104,523,621,601,536/90,056,508
  6. Step 6: Final answer
    x = 500,846,908.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.