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Finding the Third Proportional to 231,225,786 and 338,156,667

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Solution

The third proportional to 231,225,786 and 338,156,667 is: 494,537,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,225,786 : 338,156,667 = 338,156,667 : x
  2. Step 2: Convert to fraction form
    231,225,786/338,156,667 = 338,156,667/x
  3. Step 3: Cross multiply
    231,225,786x = 338,156,667 × 338,156,667
  4. Step 4: Simplify right side
    231,225,786x = 114,349,931,436,548,896
  5. Step 5: Solve for x
    x = 114,349,931,436,548,896/231,225,786
  6. Step 6: Final answer
    x = 494,537,972.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.