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Finding the Third Proportional to 44,023.50 and 95,225.63

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Solution

The third proportional to 44,023.50 and 95,225.63 is: 205,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,023.50 : 95,225.63 = 95,225.63 : x
  2. Step 2: Convert to fraction form
    44,023.50/95,225.63 = 95,225.63/x
  3. Step 3: Cross multiply
    44,023.50x = 95,225.63 × 95,225.63
  4. Step 4: Simplify right side
    44,023.50x = 9,067,919,656.64
  5. Step 5: Solve for x
    x = 9,067,919,656.64/44,023.50
  6. Step 6: Final answer
    x = 205,979.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.