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Finding the Third Proportional to 231,215,601 and 334,066,602

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Solution

The third proportional to 231,215,601 and 334,066,602 is: 482,668,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,215,601 : 334,066,602 = 334,066,602 : x
  2. Step 2: Convert to fraction form
    231,215,601/334,066,602 = 334,066,602/x
  3. Step 3: Cross multiply
    231,215,601x = 334,066,602 × 334,066,602
  4. Step 4: Simplify right side
    231,215,601x = 111,600,494,571,826,400
  5. Step 5: Solve for x
    x = 111,600,494,571,826,400/231,215,601
  6. Step 6: Final answer
    x = 482,668,531.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.