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Finding the Third Proportional to 193,440,134 and 408,713,548

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Solution

The third proportional to 193,440,134 and 408,713,548 is: 863,557,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,440,134 : 408,713,548 = 408,713,548 : x
  2. Step 2: Convert to fraction form
    193,440,134/408,713,548 = 408,713,548/x
  3. Step 3: Cross multiply
    193,440,134x = 408,713,548 × 408,713,548
  4. Step 4: Simplify right side
    193,440,134x = 167,046,764,318,748,288
  5. Step 5: Solve for x
    x = 167,046,764,318,748,288/193,440,134
  6. Step 6: Final answer
    x = 863,557,943.56

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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.