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Finding the Third Proportional to 49,915.13 and 109,041.75

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Solution

The third proportional to 49,915.13 and 109,041.75 is: 238,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,915.13 : 109,041.75 = 109,041.75 : x
  2. Step 2: Convert to fraction form
    49,915.13/109,041.75 = 109,041.75/x
  3. Step 3: Cross multiply
    49,915.13x = 109,041.75 × 109,041.75
  4. Step 4: Simplify right side
    49,915.13x = 11,890,103,243.06
  5. Step 5: Solve for x
    x = 11,890,103,243.06/49,915.13
  6. Step 6: Final answer
    x = 238,206.42

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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.