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Finding the Third Proportional to 46,247.06 and 101,206.69

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Solution

The third proportional to 46,247.06 and 101,206.69 is: 221,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,247.06 : 101,206.69 = 101,206.69 : x
  2. Step 2: Convert to fraction form
    46,247.06/101,206.69 = 101,206.69/x
  3. Step 3: Cross multiply
    46,247.06x = 101,206.69 × 101,206.69
  4. Step 4: Simplify right side
    46,247.06x = 10,242,793,594.72
  5. Step 5: Solve for x
    x = 10,242,793,594.72/46,247.06
  6. Step 6: Final answer
    x = 221,479.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.