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Finding the Third Proportional to 46,147.22 and 100,632.38

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Solution

The third proportional to 46,147.22 and 100,632.38 is: 219,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147.22 : 100,632.38 = 100,632.38 : x
  2. Step 2: Convert to fraction form
    46,147.22/100,632.38 = 100,632.38/x
  3. Step 3: Cross multiply
    46,147.22x = 100,632.38 × 100,632.38
  4. Step 4: Simplify right side
    46,147.22x = 10,126,874,898.14
  5. Step 5: Solve for x
    x = 10,126,874,898.14/46,147.22
  6. Step 6: Final answer
    x = 219,447.13

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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.