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Finding the Third Proportional to 48,422.63 and 105,422.25

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Solution

The third proportional to 48,422.63 and 105,422.25 is: 229,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422.63 : 105,422.25 = 105,422.25 : x
  2. Step 2: Convert to fraction form
    48,422.63/105,422.25 = 105,422.25/x
  3. Step 3: Cross multiply
    48,422.63x = 105,422.25 × 105,422.25
  4. Step 4: Simplify right side
    48,422.63x = 11,113,850,795.06
  5. Step 5: Solve for x
    x = 11,113,850,795.06/48,422.63
  6. Step 6: Final answer
    x = 229,517.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.