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Finding the Third Proportional to 44,943.19 and 91,162.13

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Solution

The third proportional to 44,943.19 and 91,162.13 is: 184,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,943.19 : 91,162.13 = 91,162.13 : x
  2. Step 2: Convert to fraction form
    44,943.19/91,162.13 = 91,162.13/x
  3. Step 3: Cross multiply
    44,943.19x = 91,162.13 × 91,162.13
  4. Step 4: Simplify right side
    44,943.19x = 8,310,533,034.52
  5. Step 5: Solve for x
    x = 8,310,533,034.52/44,943.19
  6. Step 6: Final answer
    x = 184,911.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.