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Finding the Third Proportional to 47,787.19 and 103,881.38

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Solution

The third proportional to 47,787.19 and 103,881.38 is: 225,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,787.19 : 103,881.38 = 103,881.38 : x
  2. Step 2: Convert to fraction form
    47,787.19/103,881.38 = 103,881.38/x
  3. Step 3: Cross multiply
    47,787.19x = 103,881.38 × 103,881.38
  4. Step 4: Simplify right side
    47,787.19x = 10,791,340,071.89
  5. Step 5: Solve for x
    x = 10,791,340,071.89/47,787.19
  6. Step 6: Final answer
    x = 225,820.78

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Why These Related Problems?

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