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Finding the Third Proportional to 224,195,246.25 and 315,578,734.88

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Solution

The third proportional to 224,195,246.25 and 315,578,734.88 is: 444,210,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,195,246.25 : 315,578,734.88 = 315,578,734.88 : x
  2. Step 2: Convert to fraction form
    224,195,246.25/315,578,734.88 = 315,578,734.88/x
  3. Step 3: Cross multiply
    224,195,246.25x = 315,578,734.88 × 315,578,734.88
  4. Step 4: Simplify right side
    224,195,246.25x = 99,589,937,905,305,536
  5. Step 5: Solve for x
    x = 99,589,937,905,305,536/224,195,246.25
  6. Step 6: Final answer
    x = 444,210,747.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.