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Finding the Third Proportional to 49,901.63 and 108,226.13

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Solution

The third proportional to 49,901.63 and 108,226.13 is: 234,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,901.63 : 108,226.13 = 108,226.13 : x
  2. Step 2: Convert to fraction form
    49,901.63/108,226.13 = 108,226.13/x
  3. Step 3: Cross multiply
    49,901.63x = 108,226.13 × 108,226.13
  4. Step 4: Simplify right side
    49,901.63x = 11,712,894,132.52
  5. Step 5: Solve for x
    x = 11,712,894,132.52/49,901.63
  6. Step 6: Final answer
    x = 234,719.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.