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Finding the Third Proportional to 154,510.50 and 198,109.50

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Solution

The third proportional to 154,510.50 and 198,109.50 is: 254,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,510.50 : 198,109.50 = 198,109.50 : x
  2. Step 2: Convert to fraction form
    154,510.50/198,109.50 = 198,109.50/x
  3. Step 3: Cross multiply
    154,510.50x = 198,109.50 × 198,109.50
  4. Step 4: Simplify right side
    154,510.50x = 39,247,373,990.25
  5. Step 5: Solve for x
    x = 39,247,373,990.25/154,510.50
  6. Step 6: Final answer
    x = 254,011.05

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.