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Finding the Third Proportional to 48,007.69 and 105,720.19

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Solution

The third proportional to 48,007.69 and 105,720.19 is: 232,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,007.69 : 105,720.19 = 105,720.19 : x
  2. Step 2: Convert to fraction form
    48,007.69/105,720.19 = 105,720.19/x
  3. Step 3: Cross multiply
    48,007.69x = 105,720.19 × 105,720.19
  4. Step 4: Simplify right side
    48,007.69x = 11,176,758,045.04
  5. Step 5: Solve for x
    x = 11,176,758,045.04/48,007.69
  6. Step 6: Final answer
    x = 232,811.84

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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.