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Finding the Third Proportional to 206,946,908 and 324,638,780

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Solution

The third proportional to 206,946,908 and 324,638,780 is: 509,262,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,946,908 : 324,638,780 = 324,638,780 : x
  2. Step 2: Convert to fraction form
    206,946,908/324,638,780 = 324,638,780/x
  3. Step 3: Cross multiply
    206,946,908x = 324,638,780 × 324,638,780
  4. Step 4: Simplify right side
    206,946,908x = 105,390,337,479,888,400
  5. Step 5: Solve for x
    x = 105,390,337,479,888,400/206,946,908
  6. Step 6: Final answer
    x = 509,262,682.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.