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Finding the Third Proportional to 196,775,373 and 430,618,911

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Solution

The third proportional to 196,775,373 and 430,618,911 is: 942,356,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,775,373 : 430,618,911 = 430,618,911 : x
  2. Step 2: Convert to fraction form
    196,775,373/430,618,911 = 430,618,911/x
  3. Step 3: Cross multiply
    196,775,373x = 430,618,911 × 430,618,911
  4. Step 4: Simplify right side
    196,775,373x = 185,432,646,510,825,920
  5. Step 5: Solve for x
    x = 185,432,646,510,825,920/196,775,373
  6. Step 6: Final answer
    x = 942,356,981.38

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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.