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Finding the Third Proportional to 184,605,124 and 393,923,240

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Solution

The third proportional to 184,605,124 and 393,923,240 is: 840,580,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,605,124 : 393,923,240 = 393,923,240 : x
  2. Step 2: Convert to fraction form
    184,605,124/393,923,240 = 393,923,240/x
  3. Step 3: Cross multiply
    184,605,124x = 393,923,240 × 393,923,240
  4. Step 4: Simplify right side
    184,605,124x = 155,175,519,012,097,600
  5. Step 5: Solve for x
    x = 155,175,519,012,097,600/184,605,124
  6. Step 6: Final answer
    x = 840,580,779.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.