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Finding the Third Proportional to 146,136.02 and 178,018.38

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Solution

The third proportional to 146,136.02 and 178,018.38 is: 216,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,136.02 : 178,018.38 = 178,018.38 : x
  2. Step 2: Convert to fraction form
    146,136.02/178,018.38 = 178,018.38/x
  3. Step 3: Cross multiply
    146,136.02x = 178,018.38 × 178,018.38
  4. Step 4: Simplify right side
    146,136.02x = 31,690,544,619.18
  5. Step 5: Solve for x
    x = 31,690,544,619.18/146,136.02
  6. Step 6: Final answer
    x = 216,856.49

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.