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Finding the Third Proportional to 184,033,592 and 393,919,144

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Solution

The third proportional to 184,033,592 and 393,919,144 is: 843,173,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,033,592 : 393,919,144 = 393,919,144 : x
  2. Step 2: Convert to fraction form
    184,033,592/393,919,144 = 393,919,144/x
  3. Step 3: Cross multiply
    184,033,592x = 393,919,144 × 393,919,144
  4. Step 4: Simplify right side
    184,033,592x = 155,172,292,009,692,736
  5. Step 5: Solve for x
    x = 155,172,292,009,692,736/184,033,592
  6. Step 6: Final answer
    x = 843,173,739.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.