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Finding the Third Proportional to 46,221.75 and 99,819.75

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Solution

The third proportional to 46,221.75 and 99,819.75 is: 215,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,221.75 : 99,819.75 = 99,819.75 : x
  2. Step 2: Convert to fraction form
    46,221.75/99,819.75 = 99,819.75/x
  3. Step 3: Cross multiply
    46,221.75x = 99,819.75 × 99,819.75
  4. Step 4: Simplify right side
    46,221.75x = 9,963,982,490.06
  5. Step 5: Solve for x
    x = 9,963,982,490.06/46,221.75
  6. Step 6: Final answer
    x = 215,569.13

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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.