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Finding the Third Proportional to 46,345.50 and 108,016.88

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Solution

The third proportional to 46,345.50 and 108,016.88 is: 251,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,345.50 : 108,016.88 = 108,016.88 : x
  2. Step 2: Convert to fraction form
    46,345.50/108,016.88 = 108,016.88/x
  3. Step 3: Cross multiply
    46,345.50x = 108,016.88 × 108,016.88
  4. Step 4: Simplify right side
    46,345.50x = 11,667,645,284.77
  5. Step 5: Solve for x
    x = 11,667,645,284.77/46,345.50
  6. Step 6: Final answer
    x = 251,753.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.