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Finding the Third Proportional to 43,021 and 101,216.50

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Solution

The third proportional to 43,021 and 101,216.50 is: 238,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,021 : 101,216.50 = 101,216.50 : x
  2. Step 2: Convert to fraction form
    43,021/101,216.50 = 101,216.50/x
  3. Step 3: Cross multiply
    43,021x = 101,216.50 × 101,216.50
  4. Step 4: Simplify right side
    43,021x = 10,244,779,872.25
  5. Step 5: Solve for x
    x = 10,244,779,872.25/43,021
  6. Step 6: Final answer
    x = 238,134.40

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.