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Finding the Third Proportional to 48,471.56 and 102,531.94

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Solution

The third proportional to 48,471.56 and 102,531.94 is: 216,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.56 : 102,531.94 = 102,531.94 : x
  2. Step 2: Convert to fraction form
    48,471.56/102,531.94 = 102,531.94/x
  3. Step 3: Cross multiply
    48,471.56x = 102,531.94 × 102,531.94
  4. Step 4: Simplify right side
    48,471.56x = 10,512,798,207.50
  5. Step 5: Solve for x
    x = 10,512,798,207.50/48,471.56
  6. Step 6: Final answer
    x = 216,885.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.