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Finding the Third Proportional to 98,193.50 and 150,143.50

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Solution

The third proportional to 98,193.50 and 150,143.50 is: 229,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,193.50 : 150,143.50 = 150,143.50 : x
  2. Step 2: Convert to fraction form
    98,193.50/150,143.50 = 150,143.50/x
  3. Step 3: Cross multiply
    98,193.50x = 150,143.50 × 150,143.50
  4. Step 4: Simplify right side
    98,193.50x = 22,543,070,592.25
  5. Step 5: Solve for x
    x = 22,543,070,592.25/98,193.50
  6. Step 6: Final answer
    x = 229,578.03

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Why These Related Problems?

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