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Finding the Third Proportional to 47,848.88 and 103,009.88

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Solution

The third proportional to 47,848.88 and 103,009.88 is: 221,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,848.88 : 103,009.88 = 103,009.88 : x
  2. Step 2: Convert to fraction form
    47,848.88/103,009.88 = 103,009.88/x
  3. Step 3: Cross multiply
    47,848.88x = 103,009.88 × 103,009.88
  4. Step 4: Simplify right side
    47,848.88x = 10,611,034,347.52
  5. Step 5: Solve for x
    x = 10,611,034,347.52/47,848.88
  6. Step 6: Final answer
    x = 221,761.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.