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Finding the Third Proportional to 128,395.13 and 184,943.88

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Solution

The third proportional to 128,395.13 and 184,943.88 is: 266,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,395.13 : 184,943.88 = 184,943.88 : x
  2. Step 2: Convert to fraction form
    128,395.13/184,943.88 = 184,943.88/x
  3. Step 3: Cross multiply
    128,395.13x = 184,943.88 × 184,943.88
  4. Step 4: Simplify right side
    128,395.13x = 34,204,239,789.76
  5. Step 5: Solve for x
    x = 34,204,239,789.76/128,395.13
  6. Step 6: Final answer
    x = 266,398.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.