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Finding the Third Proportional to 48,673.41 and 101,224.69

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Solution

The third proportional to 48,673.41 and 101,224.69 is: 210,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,673.41 : 101,224.69 = 101,224.69 : x
  2. Step 2: Convert to fraction form
    48,673.41/101,224.69 = 101,224.69/x
  3. Step 3: Cross multiply
    48,673.41x = 101,224.69 × 101,224.69
  4. Step 4: Simplify right side
    48,673.41x = 10,246,437,359.47
  5. Step 5: Solve for x
    x = 10,246,437,359.47/48,673.41
  6. Step 6: Final answer
    x = 210,514.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.