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Finding the Third Proportional to 46,090.50 and 100,524

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Solution

The third proportional to 46,090.50 and 100,524 is: 219,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,090.50 : 100,524 = 100,524 : x
  2. Step 2: Convert to fraction form
    46,090.50/100,524 = 100,524/x
  3. Step 3: Cross multiply
    46,090.50x = 100,524 × 100,524
  4. Step 4: Simplify right side
    46,090.50x = 10,105,074,576
  5. Step 5: Solve for x
    x = 10,105,074,576/46,090.50
  6. Step 6: Final answer
    x = 219,244.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.