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Finding the Third Proportional to 98,188.50 and 150,136

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Solution

The third proportional to 98,188.50 and 150,136 is: 229,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,188.50 : 150,136 = 150,136 : x
  2. Step 2: Convert to fraction form
    98,188.50/150,136 = 150,136/x
  3. Step 3: Cross multiply
    98,188.50x = 150,136 × 150,136
  4. Step 4: Simplify right side
    98,188.50x = 22,540,818,496
  5. Step 5: Solve for x
    x = 22,540,818,496/98,188.50
  6. Step 6: Final answer
    x = 229,566.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.