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Finding the Third Proportional to 102,714.75 and 219,928.50

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Solution

The third proportional to 102,714.75 and 219,928.50 is: 470,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.75 : 219,928.50 = 219,928.50 : x
  2. Step 2: Convert to fraction form
    102,714.75/219,928.50 = 219,928.50/x
  3. Step 3: Cross multiply
    102,714.75x = 219,928.50 × 219,928.50
  4. Step 4: Simplify right side
    102,714.75x = 48,368,545,112.25
  5. Step 5: Solve for x
    x = 48,368,545,112.25/102,714.75
  6. Step 6: Final answer
    x = 470,901.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.