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Finding the Third Proportional to 47,343.38 and 103,595.63

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Solution

The third proportional to 47,343.38 and 103,595.63 is: 226,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343.38 : 103,595.63 = 103,595.63 : x
  2. Step 2: Convert to fraction form
    47,343.38/103,595.63 = 103,595.63/x
  3. Step 3: Cross multiply
    47,343.38x = 103,595.63 × 103,595.63
  4. Step 4: Simplify right side
    47,343.38x = 10,732,053,519.14
  5. Step 5: Solve for x
    x = 10,732,053,519.14/47,343.38
  6. Step 6: Final answer
    x = 226,685.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.