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Finding the Third Proportional to 39,442.22 and 84,898.69

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Solution

The third proportional to 39,442.22 and 84,898.69 is: 182,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,442.22 : 84,898.69 = 84,898.69 : x
  2. Step 2: Convert to fraction form
    39,442.22/84,898.69 = 84,898.69/x
  3. Step 3: Cross multiply
    39,442.22x = 84,898.69 × 84,898.69
  4. Step 4: Simplify right side
    39,442.22x = 7,207,787,139.22
  5. Step 5: Solve for x
    x = 7,207,787,139.22/39,442.22
  6. Step 6: Final answer
    x = 182,742.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.