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Finding the Third Proportional to 92,478.38 and 202,078.13

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Solution

The third proportional to 92,478.38 and 202,078.13 is: 441,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,478.38 : 202,078.13 = 202,078.13 : x
  2. Step 2: Convert to fraction form
    92,478.38/202,078.13 = 202,078.13/x
  3. Step 3: Cross multiply
    92,478.38x = 202,078.13 × 202,078.13
  4. Step 4: Simplify right side
    92,478.38x = 40,835,568,603.52
  5. Step 5: Solve for x
    x = 40,835,568,603.52/92,478.38
  6. Step 6: Final answer
    x = 441,568.84

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Why These Related Problems?

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