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Finding the Third Proportional to 45,331.84 and 98,788.04

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Solution

The third proportional to 45,331.84 and 98,788.04 is: 215,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331.84 : 98,788.04 = 98,788.04 : x
  2. Step 2: Convert to fraction form
    45,331.84/98,788.04 = 98,788.04/x
  3. Step 3: Cross multiply
    45,331.84x = 98,788.04 × 98,788.04
  4. Step 4: Simplify right side
    45,331.84x = 9,759,077,433.60
  5. Step 5: Solve for x
    x = 9,759,077,433.60/45,331.84
  6. Step 6: Final answer
    x = 215,280.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.