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Finding the Third Proportional to 193,440,132 and 408,713,544

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Solution

The third proportional to 193,440,132 and 408,713,544 is: 863,557,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,440,132 : 408,713,544 = 408,713,544 : x
  2. Step 2: Convert to fraction form
    193,440,132/408,713,544 = 408,713,544/x
  3. Step 3: Cross multiply
    193,440,132x = 408,713,544 × 408,713,544
  4. Step 4: Simplify right side
    193,440,132x = 167,046,761,049,039,936
  5. Step 5: Solve for x
    x = 167,046,761,049,039,936/193,440,132
  6. Step 6: Final answer
    x = 863,557,935.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.