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Finding the Third Proportional to 96,865.88 and 212,422.50

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Solution

The third proportional to 96,865.88 and 212,422.50 is: 465,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,865.88 : 212,422.50 = 212,422.50 : x
  2. Step 2: Convert to fraction form
    96,865.88/212,422.50 = 212,422.50/x
  3. Step 3: Cross multiply
    96,865.88x = 212,422.50 × 212,422.50
  4. Step 4: Simplify right side
    96,865.88x = 45,123,318,506.25
  5. Step 5: Solve for x
    x = 45,123,318,506.25/96,865.88
  6. Step 6: Final answer
    x = 465,832.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.