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Finding the Third Proportional to 45,232 and 98,849

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Solution

The third proportional to 45,232 and 98,849 is: 216,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,232 : 98,849 = 98,849 : x
  2. Step 2: Convert to fraction form
    45,232/98,849 = 98,849/x
  3. Step 3: Cross multiply
    45,232x = 98,849 × 98,849
  4. Step 4: Simplify right side
    45,232x = 9,771,124,801
  5. Step 5: Solve for x
    x = 9,771,124,801/45,232
  6. Step 6: Final answer
    x = 216,022.39

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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.