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Finding the Third Proportional to 48,141.32 and 103,894.37

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Solution

The third proportional to 48,141.32 and 103,894.37 is: 224,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,141.32 : 103,894.37 = 103,894.37 : x
  2. Step 2: Convert to fraction form
    48,141.32/103,894.37 = 103,894.37/x
  3. Step 3: Cross multiply
    48,141.32x = 103,894.37 × 103,894.37
  4. Step 4: Simplify right side
    48,141.32x = 10,794,039,127.45
  5. Step 5: Solve for x
    x = 10,794,039,127.45/48,141.32
  6. Step 6: Final answer
    x = 224,215.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.