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Finding the Third Proportional to 47,189.25 and 103,703.63

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Solution

The third proportional to 47,189.25 and 103,703.63 is: 227,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189.25 : 103,703.63 = 103,703.63 : x
  2. Step 2: Convert to fraction form
    47,189.25/103,703.63 = 103,703.63/x
  3. Step 3: Cross multiply
    47,189.25x = 103,703.63 × 103,703.63
  4. Step 4: Simplify right side
    47,189.25x = 10,754,441,838.14
  5. Step 5: Solve for x
    x = 10,754,441,838.14/47,189.25
  6. Step 6: Final answer
    x = 227,900.25

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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.