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Finding the Third Proportional to 98,041.50 and 150,763.50

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Solution

The third proportional to 98,041.50 and 150,763.50 is: 231,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,041.50 : 150,763.50 = 150,763.50 : x
  2. Step 2: Convert to fraction form
    98,041.50/150,763.50 = 150,763.50/x
  3. Step 3: Cross multiply
    98,041.50x = 150,763.50 × 150,763.50
  4. Step 4: Simplify right side
    98,041.50x = 22,729,632,932.25
  5. Step 5: Solve for x
    x = 22,729,632,932.25/98,041.50
  6. Step 6: Final answer
    x = 231,836.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.