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Finding the Third Proportional to 196,774,640 and 430,617,474

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Solution

The third proportional to 196,774,640 and 430,617,474 is: 942,354,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774,640 : 430,617,474 = 430,617,474 : x
  2. Step 2: Convert to fraction form
    196,774,640/430,617,474 = 430,617,474/x
  3. Step 3: Cross multiply
    196,774,640x = 430,617,474 × 430,617,474
  4. Step 4: Simplify right side
    196,774,640x = 185,431,408,914,140,672
  5. Step 5: Solve for x
    x = 185,431,408,914,140,672/196,774,640
  6. Step 6: Final answer
    x = 942,354,202.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.