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Finding the Third Proportional to 46,359.50 and 101,467

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Solution

The third proportional to 46,359.50 and 101,467 is: 222,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359.50 : 101,467 = 101,467 : x
  2. Step 2: Convert to fraction form
    46,359.50/101,467 = 101,467/x
  3. Step 3: Cross multiply
    46,359.50x = 101,467 × 101,467
  4. Step 4: Simplify right side
    46,359.50x = 10,295,552,089
  5. Step 5: Solve for x
    x = 10,295,552,089/46,359.50
  6. Step 6: Final answer
    x = 222,080.74

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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.