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Finding the Third Proportional to 47,239.13 and 103,693.13

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Solution

The third proportional to 47,239.13 and 103,693.13 is: 227,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239.13 : 103,693.13 = 103,693.13 : x
  2. Step 2: Convert to fraction form
    47,239.13/103,693.13 = 103,693.13/x
  3. Step 3: Cross multiply
    47,239.13x = 103,693.13 × 103,693.13
  4. Step 4: Simplify right side
    47,239.13x = 10,752,264,172.27
  5. Step 5: Solve for x
    x = 10,752,264,172.27/47,239.13
  6. Step 6: Final answer
    x = 227,613.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.