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Finding the Third Proportional to 43,102.13 and 92,719.69

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Solution

The third proportional to 43,102.13 and 92,719.69 is: 199,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102.13 : 92,719.69 = 92,719.69 : x
  2. Step 2: Convert to fraction form
    43,102.13/92,719.69 = 92,719.69/x
  3. Step 3: Cross multiply
    43,102.13x = 92,719.69 × 92,719.69
  4. Step 4: Simplify right side
    43,102.13x = 8,596,940,450.10
  5. Step 5: Solve for x
    x = 8,596,940,450.10/43,102.13
  6. Step 6: Final answer
    x = 199,455.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.