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Finding the Third Proportional to 47,607.75 and 102,394.13

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Solution

The third proportional to 47,607.75 and 102,394.13 is: 220,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,607.75 : 102,394.13 = 102,394.13 : x
  2. Step 2: Convert to fraction form
    47,607.75/102,394.13 = 102,394.13/x
  3. Step 3: Cross multiply
    47,607.75x = 102,394.13 × 102,394.13
  4. Step 4: Simplify right side
    47,607.75x = 10,484,556,834.52
  5. Step 5: Solve for x
    x = 10,484,556,834.52/47,607.75
  6. Step 6: Final answer
    x = 220,227.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.