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Finding the Third Proportional to 48,463.88 and 105,928.88

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Solution

The third proportional to 48,463.88 and 105,928.88 is: 231,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,463.88 : 105,928.88 = 105,928.88 : x
  2. Step 2: Convert to fraction form
    48,463.88/105,928.88 = 105,928.88/x
  3. Step 3: Cross multiply
    48,463.88x = 105,928.88 × 105,928.88
  4. Step 4: Simplify right side
    48,463.88x = 11,220,926,558.77
  5. Step 5: Solve for x
    x = 11,220,926,558.77/48,463.88
  6. Step 6: Final answer
    x = 231,531.77

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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.