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Finding the Third Proportional to 206,946,910 and 324,638,783

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Solution

The third proportional to 206,946,910 and 324,638,783 is: 509,262,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,946,910 : 324,638,783 = 324,638,783 : x
  2. Step 2: Convert to fraction form
    206,946,910/324,638,783 = 324,638,783/x
  3. Step 3: Cross multiply
    206,946,910x = 324,638,783 × 324,638,783
  4. Step 4: Simplify right side
    206,946,910x = 105,390,339,427,721,088
  5. Step 5: Solve for x
    x = 105,390,339,427,721,088/206,946,910
  6. Step 6: Final answer
    x = 509,262,686.88

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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.