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Finding the Third Proportional to 46,097.50 and 100,573

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Solution

The third proportional to 46,097.50 and 100,573 is: 219,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,097.50 : 100,573 = 100,573 : x
  2. Step 2: Convert to fraction form
    46,097.50/100,573 = 100,573/x
  3. Step 3: Cross multiply
    46,097.50x = 100,573 × 100,573
  4. Step 4: Simplify right side
    46,097.50x = 10,114,928,329
  5. Step 5: Solve for x
    x = 10,114,928,329/46,097.50
  6. Step 6: Final answer
    x = 219,424.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.