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Finding the Third Proportional to 46,184 and 99,586

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Solution

The third proportional to 46,184 and 99,586 is: 214,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,184 : 99,586 = 99,586 : x
  2. Step 2: Convert to fraction form
    46,184/99,586 = 99,586/x
  3. Step 3: Cross multiply
    46,184x = 99,586 × 99,586
  4. Step 4: Simplify right side
    46,184x = 9,917,371,396
  5. Step 5: Solve for x
    x = 9,917,371,396/46,184
  6. Step 6: Final answer
    x = 214,736.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.