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Finding the Third Proportional to 46,790 and 102,330

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Solution

The third proportional to 46,790 and 102,330 is: 223,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,790 : 102,330 = 102,330 : x
  2. Step 2: Convert to fraction form
    46,790/102,330 = 102,330/x
  3. Step 3: Cross multiply
    46,790x = 102,330 × 102,330
  4. Step 4: Simplify right side
    46,790x = 10,471,428,900
  5. Step 5: Solve for x
    x = 10,471,428,900/46,790
  6. Step 6: Final answer
    x = 223,796.30

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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.