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Finding the Third Proportional to 123,364,189 and 270,939,194

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Solution

The third proportional to 123,364,189 and 270,939,194 is: 595,051,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,364,189 : 270,939,194 = 270,939,194 : x
  2. Step 2: Convert to fraction form
    123,364,189/270,939,194 = 270,939,194/x
  3. Step 3: Cross multiply
    123,364,189x = 270,939,194 × 270,939,194
  4. Step 4: Simplify right side
    123,364,189x = 73,408,046,845,369,632
  5. Step 5: Solve for x
    x = 73,408,046,845,369,632/123,364,189
  6. Step 6: Final answer
    x = 595,051,509.20

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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.