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Finding the Third Proportional to 49,339.13 and 119,302.88

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Solution

The third proportional to 49,339.13 and 119,302.88 is: 288,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,339.13 : 119,302.88 = 119,302.88 : x
  2. Step 2: Convert to fraction form
    49,339.13/119,302.88 = 119,302.88/x
  3. Step 3: Cross multiply
    49,339.13x = 119,302.88 × 119,302.88
  4. Step 4: Simplify right side
    49,339.13x = 14,233,175,983.27
  5. Step 5: Solve for x
    x = 14,233,175,983.27/49,339.13
  6. Step 6: Final answer
    x = 288,476.46

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.