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Finding the Third Proportional to 57,864.38 and 117,338.63

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Solution

The third proportional to 57,864.38 and 117,338.63 is: 237,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864.38 : 117,338.63 = 117,338.63 : x
  2. Step 2: Convert to fraction form
    57,864.38/117,338.63 = 117,338.63/x
  3. Step 3: Cross multiply
    57,864.38x = 117,338.63 × 117,338.63
  4. Step 4: Simplify right side
    57,864.38x = 13,768,352,916.89
  5. Step 5: Solve for x
    x = 13,768,352,916.89/57,864.38
  6. Step 6: Final answer
    x = 237,941.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.