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Finding the Third Proportional to 106,787.06 and 234,890.63

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Solution

The third proportional to 106,787.06 and 234,890.63 is: 516,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,787.06 : 234,890.63 = 234,890.63 : x
  2. Step 2: Convert to fraction form
    106,787.06/234,890.63 = 234,890.63/x
  3. Step 3: Cross multiply
    106,787.06x = 234,890.63 × 234,890.63
  4. Step 4: Simplify right side
    106,787.06x = 55,173,605,712.89
  5. Step 5: Solve for x
    x = 55,173,605,712.89/106,787.06
  6. Step 6: Final answer
    x = 516,669.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.