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Finding the Third Proportional to 39,494.25 and 90,716.63

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Solution

The third proportional to 39,494.25 and 90,716.63 is: 208,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,494.25 : 90,716.63 = 90,716.63 : x
  2. Step 2: Convert to fraction form
    39,494.25/90,716.63 = 90,716.63/x
  3. Step 3: Cross multiply
    39,494.25x = 90,716.63 × 90,716.63
  4. Step 4: Simplify right side
    39,494.25x = 8,229,506,051.39
  5. Step 5: Solve for x
    x = 8,229,506,051.39/39,494.25
  6. Step 6: Final answer
    x = 208,372.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.