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Finding the Third Proportional to 46,550.50 and 101,201

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Solution

The third proportional to 46,550.50 and 101,201 is: 220,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,550.50 : 101,201 = 101,201 : x
  2. Step 2: Convert to fraction form
    46,550.50/101,201 = 101,201/x
  3. Step 3: Cross multiply
    46,550.50x = 101,201 × 101,201
  4. Step 4: Simplify right side
    46,550.50x = 10,241,642,401
  5. Step 5: Solve for x
    x = 10,241,642,401/46,550.50
  6. Step 6: Final answer
    x = 220,011.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.