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Finding the Third Proportional to 46,375.50 and 100,143

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Solution

The third proportional to 46,375.50 and 100,143 is: 216,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,375.50 : 100,143 = 100,143 : x
  2. Step 2: Convert to fraction form
    46,375.50/100,143 = 100,143/x
  3. Step 3: Cross multiply
    46,375.50x = 100,143 × 100,143
  4. Step 4: Simplify right side
    46,375.50x = 10,028,620,449
  5. Step 5: Solve for x
    x = 10,028,620,449/46,375.50
  6. Step 6: Final answer
    x = 216,248.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.