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Finding the Third Proportional to 54,214.31 and 112,197.66

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Solution

The third proportional to 54,214.31 and 112,197.66 is: 232,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,214.31 : 112,197.66 = 112,197.66 : x
  2. Step 2: Convert to fraction form
    54,214.31/112,197.66 = 112,197.66/x
  3. Step 3: Cross multiply
    54,214.31x = 112,197.66 × 112,197.66
  4. Step 4: Simplify right side
    54,214.31x = 12,588,314,067.99
  5. Step 5: Solve for x
    x = 12,588,314,067.99/54,214.31
  6. Step 6: Final answer
    x = 232,195.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.