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Finding the Third Proportional to 53,870.63 and 109,279.69

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Solution

The third proportional to 53,870.63 and 109,279.69 is: 221,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,870.63 : 109,279.69 = 109,279.69 : x
  2. Step 2: Convert to fraction form
    53,870.63/109,279.69 = 109,279.69/x
  3. Step 3: Cross multiply
    53,870.63x = 109,279.69 × 109,279.69
  4. Step 4: Simplify right side
    53,870.63x = 11,942,050,100.10
  5. Step 5: Solve for x
    x = 11,942,050,100.10/53,870.63
  6. Step 6: Final answer
    x = 221,680.18

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.