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Finding the Third Proportional to 47,698.88 and 104,054.63

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Solution

The third proportional to 47,698.88 and 104,054.63 is: 226,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.88 : 104,054.63 = 104,054.63 : x
  2. Step 2: Convert to fraction form
    47,698.88/104,054.63 = 104,054.63/x
  3. Step 3: Cross multiply
    47,698.88x = 104,054.63 × 104,054.63
  4. Step 4: Simplify right side
    47,698.88x = 10,827,364,983.89
  5. Step 5: Solve for x
    x = 10,827,364,983.89/47,698.88
  6. Step 6: Final answer
    x = 226,994.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.