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Finding the Third Proportional to 47,925 and 104,209.88

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Solution

The third proportional to 47,925 and 104,209.88 is: 226,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,925 : 104,209.88 = 104,209.88 : x
  2. Step 2: Convert to fraction form
    47,925/104,209.88 = 104,209.88/x
  3. Step 3: Cross multiply
    47,925x = 104,209.88 × 104,209.88
  4. Step 4: Simplify right side
    47,925x = 10,859,698,047.52
  5. Step 5: Solve for x
    x = 10,859,698,047.52/47,925
  6. Step 6: Final answer
    x = 226,597.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.