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Finding the Third Proportional to 48,352.13 and 102,932.38

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Solution

The third proportional to 48,352.13 and 102,932.38 is: 219,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,352.13 : 102,932.38 = 102,932.38 : x
  2. Step 2: Convert to fraction form
    48,352.13/102,932.38 = 102,932.38/x
  3. Step 3: Cross multiply
    48,352.13x = 102,932.38 × 102,932.38
  4. Step 4: Simplify right side
    48,352.13x = 10,595,073,823.14
  5. Step 5: Solve for x
    x = 10,595,073,823.14/48,352.13
  6. Step 6: Final answer
    x = 219,123.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.