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Finding the Third Proportional to 47,434.78 and 101,595.09

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Solution

The third proportional to 47,434.78 and 101,595.09 is: 217,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,434.78 : 101,595.09 = 101,595.09 : x
  2. Step 2: Convert to fraction form
    47,434.78/101,595.09 = 101,595.09/x
  3. Step 3: Cross multiply
    47,434.78x = 101,595.09 × 101,595.09
  4. Step 4: Simplify right side
    47,434.78x = 10,321,563,074.07
  5. Step 5: Solve for x
    x = 10,321,563,074.07/47,434.78
  6. Step 6: Final answer
    x = 217,594.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.