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Finding the Third Proportional to 196,417,700 and 273,103,180

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Solution

The third proportional to 196,417,700 and 273,103,180 is: 379,728,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,417,700 : 273,103,180 = 273,103,180 : x
  2. Step 2: Convert to fraction form
    196,417,700/273,103,180 = 273,103,180/x
  3. Step 3: Cross multiply
    196,417,700x = 273,103,180 × 273,103,180
  4. Step 4: Simplify right side
    196,417,700x = 74,585,346,926,112,400
  5. Step 5: Solve for x
    x = 74,585,346,926,112,400/196,417,700
  6. Step 6: Final answer
    x = 379,728,236.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.