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Finding the Third Proportional to 44,421.75 and 90,919.13

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Solution

The third proportional to 44,421.75 and 90,919.13 is: 186,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,421.75 : 90,919.13 = 90,919.13 : x
  2. Step 2: Convert to fraction form
    44,421.75/90,919.13 = 90,919.13/x
  3. Step 3: Cross multiply
    44,421.75x = 90,919.13 × 90,919.13
  4. Step 4: Simplify right side
    44,421.75x = 8,266,287,290.77
  5. Step 5: Solve for x
    x = 8,266,287,290.77/44,421.75
  6. Step 6: Final answer
    x = 186,086.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.