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Finding the Third Proportional to 43,306.25 and 97,814.38

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Solution

The third proportional to 43,306.25 and 97,814.38 is: 220,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,306.25 : 97,814.38 = 97,814.38 : x
  2. Step 2: Convert to fraction form
    43,306.25/97,814.38 = 97,814.38/x
  3. Step 3: Cross multiply
    43,306.25x = 97,814.38 × 97,814.38
  4. Step 4: Simplify right side
    43,306.25x = 9,567,651,956.64
  5. Step 5: Solve for x
    x = 9,567,651,956.64/43,306.25
  6. Step 6: Final answer
    x = 220,930.05

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.