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Finding the Third Proportional to 46,372.50 and 101,493

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Solution

The third proportional to 46,372.50 and 101,493 is: 222,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,372.50 : 101,493 = 101,493 : x
  2. Step 2: Convert to fraction form
    46,372.50/101,493 = 101,493/x
  3. Step 3: Cross multiply
    46,372.50x = 101,493 × 101,493
  4. Step 4: Simplify right side
    46,372.50x = 10,300,829,049
  5. Step 5: Solve for x
    x = 10,300,829,049/46,372.50
  6. Step 6: Final answer
    x = 222,132.28

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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.