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Finding the Third Proportional to 46,894.50 and 102,870

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Solution

The third proportional to 46,894.50 and 102,870 is: 225,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,894.50 : 102,870 = 102,870 : x
  2. Step 2: Convert to fraction form
    46,894.50/102,870 = 102,870/x
  3. Step 3: Cross multiply
    46,894.50x = 102,870 × 102,870
  4. Step 4: Simplify right side
    46,894.50x = 10,582,236,900
  5. Step 5: Solve for x
    x = 10,582,236,900/46,894.50
  6. Step 6: Final answer
    x = 225,660.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.