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Finding the Third Proportional to 44,945.44 and 99,866.81

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Solution

The third proportional to 44,945.44 and 99,866.81 is: 221,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,945.44 : 99,866.81 = 99,866.81 : x
  2. Step 2: Convert to fraction form
    44,945.44/99,866.81 = 99,866.81/x
  3. Step 3: Cross multiply
    44,945.44x = 99,866.81 × 99,866.81
  4. Step 4: Simplify right side
    44,945.44x = 9,973,380,238.91
  5. Step 5: Solve for x
    x = 9,973,380,238.91/44,945.44
  6. Step 6: Final answer
    x = 221,899.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.