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Finding the Third Proportional to 46,357.50 and 101,463

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Solution

The third proportional to 46,357.50 and 101,463 is: 222,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357.50 : 101,463 = 101,463 : x
  2. Step 2: Convert to fraction form
    46,357.50/101,463 = 101,463/x
  3. Step 3: Cross multiply
    46,357.50x = 101,463 × 101,463
  4. Step 4: Simplify right side
    46,357.50x = 10,294,740,369
  5. Step 5: Solve for x
    x = 10,294,740,369/46,357.50
  6. Step 6: Final answer
    x = 222,072.81

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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.