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Finding the Third Proportional to 45,780.82 and 98,963.65

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Solution

The third proportional to 45,780.82 and 98,963.65 is: 213,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780.82 : 98,963.65 = 98,963.65 : x
  2. Step 2: Convert to fraction form
    45,780.82/98,963.65 = 98,963.65/x
  3. Step 3: Cross multiply
    45,780.82x = 98,963.65 × 98,963.65
  4. Step 4: Simplify right side
    45,780.82x = 9,793,803,712.06
  5. Step 5: Solve for x
    x = 9,793,803,712.06/45,780.82
  6. Step 6: Final answer
    x = 213,928.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.