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Finding the Third Proportional to 48,346.88 and 100,369.13

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Solution

The third proportional to 48,346.88 and 100,369.13 is: 208,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,346.88 : 100,369.13 = 100,369.13 : x
  2. Step 2: Convert to fraction form
    48,346.88/100,369.13 = 100,369.13/x
  3. Step 3: Cross multiply
    48,346.88x = 100,369.13 × 100,369.13
  4. Step 4: Simplify right side
    48,346.88x = 10,073,961,253.27
  5. Step 5: Solve for x
    x = 10,073,961,253.27/48,346.88
  6. Step 6: Final answer
    x = 208,368.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.