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Finding the Third Proportional to 46,732.13 and 102,805.50

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Solution

The third proportional to 46,732.13 and 102,805.50 is: 226,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,732.13 : 102,805.50 = 102,805.50 : x
  2. Step 2: Convert to fraction form
    46,732.13/102,805.50 = 102,805.50/x
  3. Step 3: Cross multiply
    46,732.13x = 102,805.50 × 102,805.50
  4. Step 4: Simplify right side
    46,732.13x = 10,568,970,830.25
  5. Step 5: Solve for x
    x = 10,568,970,830.25/46,732.13
  6. Step 6: Final answer
    x = 226,160.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.