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Finding the Third Proportional to 47,378.25 and 102,350.25

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Solution

The third proportional to 47,378.25 and 102,350.25 is: 221,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,378.25 : 102,350.25 = 102,350.25 : x
  2. Step 2: Convert to fraction form
    47,378.25/102,350.25 = 102,350.25/x
  3. Step 3: Cross multiply
    47,378.25x = 102,350.25 × 102,350.25
  4. Step 4: Simplify right side
    47,378.25x = 10,475,573,675.06
  5. Step 5: Solve for x
    x = 10,475,573,675.06/47,378.25
  6. Step 6: Final answer
    x = 221,105.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.