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Finding the Third Proportional to 47,518.84 and 110,493.33

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Solution

The third proportional to 47,518.84 and 110,493.33 is: 256,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,518.84 : 110,493.33 = 110,493.33 : x
  2. Step 2: Convert to fraction form
    47,518.84/110,493.33 = 110,493.33/x
  3. Step 3: Cross multiply
    47,518.84x = 110,493.33 × 110,493.33
  4. Step 4: Simplify right side
    47,518.84x = 12,208,776,854.98
  5. Step 5: Solve for x
    x = 12,208,776,854.98/47,518.84
  6. Step 6: Final answer
    x = 256,924.98

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.