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Finding the Third Proportional to 45,208 and 98,984

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Solution

The third proportional to 45,208 and 98,984 is: 216,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208 : 98,984 = 98,984 : x
  2. Step 2: Convert to fraction form
    45,208/98,984 = 98,984/x
  3. Step 3: Cross multiply
    45,208x = 98,984 × 98,984
  4. Step 4: Simplify right side
    45,208x = 9,797,832,256
  5. Step 5: Solve for x
    x = 9,797,832,256/45,208
  6. Step 6: Final answer
    x = 216,727.84

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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.