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Finding the Third Proportional to 188,112 and 402,108

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Solution

The third proportional to 188,112 and 402,108 is: 859,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,112 : 402,108 = 402,108 : x
  2. Step 2: Convert to fraction form
    188,112/402,108 = 402,108/x
  3. Step 3: Cross multiply
    188,112x = 402,108 × 402,108
  4. Step 4: Simplify right side
    188,112x = 161,690,843,664
  5. Step 5: Solve for x
    x = 161,690,843,664/188,112
  6. Step 6: Final answer
    x = 859,545.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.