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Finding the Third Proportional to 46,802 and 102,349

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Solution

The third proportional to 46,802 and 102,349 is: 223,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802 : 102,349 = 102,349 : x
  2. Step 2: Convert to fraction form
    46,802/102,349 = 102,349/x
  3. Step 3: Cross multiply
    46,802x = 102,349 × 102,349
  4. Step 4: Simplify right side
    46,802x = 10,475,317,801
  5. Step 5: Solve for x
    x = 10,475,317,801/46,802
  6. Step 6: Final answer
    x = 223,822.01

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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.