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Finding the Third Proportional to 92,063 and 198,649

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Solution

The third proportional to 92,063 and 198,649 is: 428,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,063 : 198,649 = 198,649 : x
  2. Step 2: Convert to fraction form
    92,063/198,649 = 198,649/x
  3. Step 3: Cross multiply
    92,063x = 198,649 × 198,649
  4. Step 4: Simplify right side
    92,063x = 39,461,425,201
  5. Step 5: Solve for x
    x = 39,461,425,201/92,063
  6. Step 6: Final answer
    x = 428,635.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.