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Finding the Third Proportional to 273,140,148.75 and 600,761,304.75

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Solution

The third proportional to 273,140,148.75 and 600,761,304.75 is: 1,321,351,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140,148.75 : 600,761,304.75 = 600,761,304.75 : x
  2. Step 2: Convert to fraction form
    273,140,148.75/600,761,304.75 = 600,761,304.75/x
  3. Step 3: Cross multiply
    273,140,148.75x = 600,761,304.75 × 600,761,304.75
  4. Step 4: Simplify right side
    273,140,148.75x = 360,914,145,284,922,368
  5. Step 5: Solve for x
    x = 360,914,145,284,922,368/273,140,148.75
  6. Step 6: Final answer
    x = 1,321,351,500.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.