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Finding the Third Proportional to 45,281.53 and 98,342.86

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Solution

The third proportional to 45,281.53 and 98,342.86 is: 213,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,281.53 : 98,342.86 = 98,342.86 : x
  2. Step 2: Convert to fraction form
    45,281.53/98,342.86 = 98,342.86/x
  3. Step 3: Cross multiply
    45,281.53x = 98,342.86 × 98,342.86
  4. Step 4: Simplify right side
    45,281.53x = 9,671,317,990.05
  5. Step 5: Solve for x
    x = 9,671,317,990.05/45,281.53
  6. Step 6: Final answer
    x = 213,581.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.