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Finding the Third Proportional to 222,791,584 and 340,590,912

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Solution

The third proportional to 222,791,584 and 340,590,912 is: 520,675,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,791,584 : 340,590,912 = 340,590,912 : x
  2. Step 2: Convert to fraction form
    222,791,584/340,590,912 = 340,590,912/x
  3. Step 3: Cross multiply
    222,791,584x = 340,590,912 × 340,590,912
  4. Step 4: Simplify right side
    222,791,584x = 116,002,169,336,991,744
  5. Step 5: Solve for x
    x = 116,002,169,336,991,744/222,791,584
  6. Step 6: Final answer
    x = 520,675,724.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.