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Finding the Third Proportional to 43,446.38 and 101,497.50

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Solution

The third proportional to 43,446.38 and 101,497.50 is: 237,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,446.38 : 101,497.50 = 101,497.50 : x
  2. Step 2: Convert to fraction form
    43,446.38/101,497.50 = 101,497.50/x
  3. Step 3: Cross multiply
    43,446.38x = 101,497.50 × 101,497.50
  4. Step 4: Simplify right side
    43,446.38x = 10,301,742,506.25
  5. Step 5: Solve for x
    x = 10,301,742,506.25/43,446.38
  6. Step 6: Final answer
    x = 237,113.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.