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Finding the Third Proportional to 48,249.34 and 106,314.88

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Solution

The third proportional to 48,249.34 and 106,314.88 is: 234,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,249.34 : 106,314.88 = 106,314.88 : x
  2. Step 2: Convert to fraction form
    48,249.34/106,314.88 = 106,314.88/x
  3. Step 3: Cross multiply
    48,249.34x = 106,314.88 × 106,314.88
  4. Step 4: Simplify right side
    48,249.34x = 11,302,852,646.27
  5. Step 5: Solve for x
    x = 11,302,852,646.27/48,249.34
  6. Step 6: Final answer
    x = 234,259.20

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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.