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Finding the Third Proportional to 128,808 and 189,480.50

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Solution

The third proportional to 128,808 and 189,480.50 is: 278,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,808 : 189,480.50 = 189,480.50 : x
  2. Step 2: Convert to fraction form
    128,808/189,480.50 = 189,480.50/x
  3. Step 3: Cross multiply
    128,808x = 189,480.50 × 189,480.50
  4. Step 4: Simplify right side
    128,808x = 35,902,859,880.25
  5. Step 5: Solve for x
    x = 35,902,859,880.25/128,808
  6. Step 6: Final answer
    x = 278,731.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.