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Finding the Third Proportional to 128,800.13 and 189,475.88

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Solution

The third proportional to 128,800.13 and 189,475.88 is: 278,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800.13 : 189,475.88 = 189,475.88 : x
  2. Step 2: Convert to fraction form
    128,800.13/189,475.88 = 189,475.88/x
  3. Step 3: Cross multiply
    128,800.13x = 189,475.88 × 189,475.88
  4. Step 4: Simplify right side
    128,800.13x = 35,901,107,207.02
  5. Step 5: Solve for x
    x = 35,901,107,207.02/128,800.13
  6. Step 6: Final answer
    x = 278,735.03

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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.