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Finding the Third Proportional to 43,011.75 and 101,209.97

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Solution

The third proportional to 43,011.75 and 101,209.97 is: 238,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,011.75 : 101,209.97 = 101,209.97 : x
  2. Step 2: Convert to fraction form
    43,011.75/101,209.97 = 101,209.97/x
  3. Step 3: Cross multiply
    43,011.75x = 101,209.97 × 101,209.97
  4. Step 4: Simplify right side
    43,011.75x = 10,243,457,774.38
  5. Step 5: Solve for x
    x = 10,243,457,774.38/43,011.75
  6. Step 6: Final answer
    x = 238,154.87

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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.