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Finding the Third Proportional to 273,140,148 and 600,761,303.25

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Solution

The third proportional to 273,140,148 and 600,761,303.25 is: 1,321,351,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140,148 : 600,761,303.25 = 600,761,303.25 : x
  2. Step 2: Convert to fraction form
    273,140,148/600,761,303.25 = 600,761,303.25/x
  3. Step 3: Cross multiply
    273,140,148x = 600,761,303.25 × 600,761,303.25
  4. Step 4: Simplify right side
    273,140,148x = 360,914,143,482,638,464
  5. Step 5: Solve for x
    x = 360,914,143,482,638,464/273,140,148
  6. Step 6: Final answer
    x = 1,321,351,497.12

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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.