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Finding the Third Proportional to 48,394.97 and 106,137.84

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Solution

The third proportional to 48,394.97 and 106,137.84 is: 232,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,394.97 : 106,137.84 = 106,137.84 : x
  2. Step 2: Convert to fraction form
    48,394.97/106,137.84 = 106,137.84/x
  3. Step 3: Cross multiply
    48,394.97x = 106,137.84 × 106,137.84
  4. Step 4: Simplify right side
    48,394.97x = 11,265,241,875.90
  5. Step 5: Solve for x
    x = 11,265,241,875.90/48,394.97
  6. Step 6: Final answer
    x = 232,777.13

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Why These Related Problems?

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