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Finding the Third Proportional to 47,905.88 and 100,772.44

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Solution

The third proportional to 47,905.88 and 100,772.44 is: 211,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,905.88 : 100,772.44 = 100,772.44 : x
  2. Step 2: Convert to fraction form
    47,905.88/100,772.44 = 100,772.44/x
  3. Step 3: Cross multiply
    47,905.88x = 100,772.44 × 100,772.44
  4. Step 4: Simplify right side
    47,905.88x = 10,155,084,159.69
  5. Step 5: Solve for x
    x = 10,155,084,159.69/47,905.88
  6. Step 6: Final answer
    x = 211,979.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.