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Finding the Third Proportional to 45,329.63 and 102,049.88

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Solution

The third proportional to 45,329.63 and 102,049.88 is: 229,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,329.63 : 102,049.88 = 102,049.88 : x
  2. Step 2: Convert to fraction form
    45,329.63/102,049.88 = 102,049.88/x
  3. Step 3: Cross multiply
    45,329.63x = 102,049.88 × 102,049.88
  4. Step 4: Simplify right side
    45,329.63x = 10,414,176,987.52
  5. Step 5: Solve for x
    x = 10,414,176,987.52/45,329.63
  6. Step 6: Final answer
    x = 229,743.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.