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Finding the Third Proportional to 47,656.13 and 110,800.13

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Solution

The third proportional to 47,656.13 and 110,800.13 is: 257,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656.13 : 110,800.13 = 110,800.13 : x
  2. Step 2: Convert to fraction form
    47,656.13/110,800.13 = 110,800.13/x
  3. Step 3: Cross multiply
    47,656.13x = 110,800.13 × 110,800.13
  4. Step 4: Simplify right side
    47,656.13x = 12,276,667,700.02
  5. Step 5: Solve for x
    x = 12,276,667,700.02/47,656.13
  6. Step 6: Final answer
    x = 257,609.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.