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Finding the Third Proportional to 268,111,958 and 578,548,172

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Solution

The third proportional to 268,111,958 and 578,548,172 is: 1,248,426,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,111,958 : 578,548,172 = 578,548,172 : x
  2. Step 2: Convert to fraction form
    268,111,958/578,548,172 = 578,548,172/x
  3. Step 3: Cross multiply
    268,111,958x = 578,548,172 × 578,548,172
  4. Step 4: Simplify right side
    268,111,958x = 334,717,987,324,541,568
  5. Step 5: Solve for x
    x = 334,717,987,324,541,568/268,111,958
  6. Step 6: Final answer
    x = 1,248,426,179.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.