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Finding the Third Proportional to 50,117.06 and 108,069.19

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Solution

The third proportional to 50,117.06 and 108,069.19 is: 233,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,117.06 : 108,069.19 = 108,069.19 : x
  2. Step 2: Convert to fraction form
    50,117.06/108,069.19 = 108,069.19/x
  3. Step 3: Cross multiply
    50,117.06x = 108,069.19 × 108,069.19
  4. Step 4: Simplify right side
    50,117.06x = 11,678,949,286.91
  5. Step 5: Solve for x
    x = 11,678,949,286.91/50,117.06
  6. Step 6: Final answer
    x = 233,033.40

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Why These Related Problems?

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