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Finding the Third Proportional to 46,209 and 100,482

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Solution

The third proportional to 46,209 and 100,482 is: 218,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,209 : 100,482 = 100,482 : x
  2. Step 2: Convert to fraction form
    46,209/100,482 = 100,482/x
  3. Step 3: Cross multiply
    46,209x = 100,482 × 100,482
  4. Step 4: Simplify right side
    46,209x = 10,096,632,324
  5. Step 5: Solve for x
    x = 10,096,632,324/46,209
  6. Step 6: Final answer
    x = 218,499.26

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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.