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Finding the Third Proportional to 184,605,138 and 393,923,268

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Solution

The third proportional to 184,605,138 and 393,923,268 is: 840,580,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,605,138 : 393,923,268 = 393,923,268 : x
  2. Step 2: Convert to fraction form
    184,605,138/393,923,268 = 393,923,268/x
  3. Step 3: Cross multiply
    184,605,138x = 393,923,268 × 393,923,268
  4. Step 4: Simplify right side
    184,605,138x = 155,175,541,071,799,808
  5. Step 5: Solve for x
    x = 155,175,541,071,799,808/184,605,138
  6. Step 6: Final answer
    x = 840,580,835.14

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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.