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Finding the Third Proportional to 85,455.75 and 186,288.38

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Solution

The third proportional to 85,455.75 and 186,288.38 is: 406,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,455.75 : 186,288.38 = 186,288.38 : x
  2. Step 2: Convert to fraction form
    85,455.75/186,288.38 = 186,288.38/x
  3. Step 3: Cross multiply
    85,455.75x = 186,288.38 × 186,288.38
  4. Step 4: Simplify right side
    85,455.75x = 34,703,358,660.14
  5. Step 5: Solve for x
    x = 34,703,358,660.14/85,455.75
  6. Step 6: Final answer
    x = 406,097.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.