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Finding the Third Proportional to 85,338.56 and 187,079.63

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Solution

The third proportional to 85,338.56 and 187,079.63 is: 410,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,338.56 : 187,079.63 = 187,079.63 : x
  2. Step 2: Convert to fraction form
    85,338.56/187,079.63 = 187,079.63/x
  3. Step 3: Cross multiply
    85,338.56x = 187,079.63 × 187,079.63
  4. Step 4: Simplify right side
    85,338.56x = 34,998,786,090.14
  5. Step 5: Solve for x
    x = 34,998,786,090.14/85,338.56
  6. Step 6: Final answer
    x = 410,116.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.