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Finding the Third Proportional to 192,107 and 308,664.50

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Solution

The third proportional to 192,107 and 308,664.50 is: 495,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,107 : 308,664.50 = 308,664.50 : x
  2. Step 2: Convert to fraction form
    192,107/308,664.50 = 308,664.50/x
  3. Step 3: Cross multiply
    192,107x = 308,664.50 × 308,664.50
  4. Step 4: Simplify right side
    192,107x = 95,273,773,560.25
  5. Step 5: Solve for x
    x = 95,273,773,560.25/192,107
  6. Step 6: Final answer
    x = 495,941.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.