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Finding the Third Proportional to 45,091.69 and 98,308.69

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Solution

The third proportional to 45,091.69 and 98,308.69 is: 214,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,091.69 : 98,308.69 = 98,308.69 : x
  2. Step 2: Convert to fraction form
    45,091.69/98,308.69 = 98,308.69/x
  3. Step 3: Cross multiply
    45,091.69x = 98,308.69 × 98,308.69
  4. Step 4: Simplify right side
    45,091.69x = 9,664,598,037.97
  5. Step 5: Solve for x
    x = 9,664,598,037.97/45,091.69
  6. Step 6: Final answer
    x = 214,332.14

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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.