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Finding the Third Proportional to 45,780.19 and 110,251.13

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Solution

The third proportional to 45,780.19 and 110,251.13 is: 265,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780.19 : 110,251.13 = 110,251.13 : x
  2. Step 2: Convert to fraction form
    45,780.19/110,251.13 = 110,251.13/x
  3. Step 3: Cross multiply
    45,780.19x = 110,251.13 × 110,251.13
  4. Step 4: Simplify right side
    45,780.19x = 12,155,310,563.77
  5. Step 5: Solve for x
    x = 12,155,310,563.77/45,780.19
  6. Step 6: Final answer
    x = 265,514.65

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.