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Finding the Third Proportional to 46,192 and 99,289

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Solution

The third proportional to 46,192 and 99,289 is: 213,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,192 : 99,289 = 99,289 : x
  2. Step 2: Convert to fraction form
    46,192/99,289 = 99,289/x
  3. Step 3: Cross multiply
    46,192x = 99,289 × 99,289
  4. Step 4: Simplify right side
    46,192x = 9,858,305,521
  5. Step 5: Solve for x
    x = 9,858,305,521/46,192
  6. Step 6: Final answer
    x = 213,420.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.