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Finding the Third Proportional to 128,803.50 and 189,477

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Solution

The third proportional to 128,803.50 and 189,477 is: 278,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,803.50 : 189,477 = 189,477 : x
  2. Step 2: Convert to fraction form
    128,803.50/189,477 = 189,477/x
  3. Step 3: Cross multiply
    128,803.50x = 189,477 × 189,477
  4. Step 4: Simplify right side
    128,803.50x = 35,901,533,529
  5. Step 5: Solve for x
    x = 35,901,533,529/128,803.50
  6. Step 6: Final answer
    x = 278,731.04

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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.