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Finding the Third Proportional to 45,987.87 and 98,624.84

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Solution

The third proportional to 45,987.87 and 98,624.84 is: 211,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.87 : 98,624.84 = 98,624.84 : x
  2. Step 2: Convert to fraction form
    45,987.87/98,624.84 = 98,624.84/x
  3. Step 3: Cross multiply
    45,987.87x = 98,624.84 × 98,624.84
  4. Step 4: Simplify right side
    45,987.87x = 9,726,858,408.17
  5. Step 5: Solve for x
    x = 9,726,858,408.17/45,987.87
  6. Step 6: Final answer
    x = 211,509.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.