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Finding the Third Proportional to 45,205.59 and 98,196.68

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Solution

The third proportional to 45,205.59 and 98,196.68 is: 213,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205.59 : 98,196.68 = 98,196.68 : x
  2. Step 2: Convert to fraction form
    45,205.59/98,196.68 = 98,196.68/x
  3. Step 3: Cross multiply
    45,205.59x = 98,196.68 × 98,196.68
  4. Step 4: Simplify right side
    45,205.59x = 9,642,587,901.65
  5. Step 5: Solve for x
    x = 9,642,587,901.65/45,205.59
  6. Step 6: Final answer
    x = 213,305.19

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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.