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Finding the Third Proportional to 47,848.22 and 104,854.50

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Solution

The third proportional to 47,848.22 and 104,854.50 is: 229,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,848.22 : 104,854.50 = 104,854.50 : x
  2. Step 2: Convert to fraction form
    47,848.22/104,854.50 = 104,854.50/x
  3. Step 3: Cross multiply
    47,848.22x = 104,854.50 × 104,854.50
  4. Step 4: Simplify right side
    47,848.22x = 10,994,466,170.25
  5. Step 5: Solve for x
    x = 10,994,466,170.25/47,848.22
  6. Step 6: Final answer
    x = 229,777.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.