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Finding the Third Proportional to 184,033,600 and 393,919,160

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Solution

The third proportional to 184,033,600 and 393,919,160 is: 843,173,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,033,600 : 393,919,160 = 393,919,160 : x
  2. Step 2: Convert to fraction form
    184,033,600/393,919,160 = 393,919,160/x
  3. Step 3: Cross multiply
    184,033,600x = 393,919,160 × 393,919,160
  4. Step 4: Simplify right side
    184,033,600x = 155,172,304,615,105,600
  5. Step 5: Solve for x
    x = 155,172,304,615,105,600/184,033,600
  6. Step 6: Final answer
    x = 843,173,771.61

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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.