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Finding the Third Proportional to 85,844.81 and 187,059.38

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Solution

The third proportional to 85,844.81 and 187,059.38 is: 407,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,844.81 : 187,059.38 = 187,059.38 : x
  2. Step 2: Convert to fraction form
    85,844.81/187,059.38 = 187,059.38/x
  3. Step 3: Cross multiply
    85,844.81x = 187,059.38 × 187,059.38
  4. Step 4: Simplify right side
    85,844.81x = 34,991,209,775.39
  5. Step 5: Solve for x
    x = 34,991,209,775.39/85,844.81
  6. Step 6: Final answer
    x = 407,610.07

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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.