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Finding the Third Proportional to 44,649 and 98,384

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Solution

The third proportional to 44,649 and 98,384 is: 216,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,649 : 98,384 = 98,384 : x
  2. Step 2: Convert to fraction form
    44,649/98,384 = 98,384/x
  3. Step 3: Cross multiply
    44,649x = 98,384 × 98,384
  4. Step 4: Simplify right side
    44,649x = 9,679,411,456
  5. Step 5: Solve for x
    x = 9,679,411,456/44,649
  6. Step 6: Final answer
    x = 216,788.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.