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Finding the Third Proportional to 155,510,469 and 334,099,102

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Solution

The third proportional to 155,510,469 and 334,099,102 is: 717,779,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,510,469 : 334,099,102 = 334,099,102 : x
  2. Step 2: Convert to fraction form
    155,510,469/334,099,102 = 334,099,102/x
  3. Step 3: Cross multiply
    155,510,469x = 334,099,102 × 334,099,102
  4. Step 4: Simplify right side
    155,510,469x = 111,622,209,957,206,400
  5. Step 5: Solve for x
    x = 111,622,209,957,206,400/155,510,469
  6. Step 6: Final answer
    x = 717,779,392.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.