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Finding the Third Proportional to 97,282.50 and 213,017.25

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Solution

The third proportional to 97,282.50 and 213,017.25 is: 466,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,282.50 : 213,017.25 = 213,017.25 : x
  2. Step 2: Convert to fraction form
    97,282.50/213,017.25 = 213,017.25/x
  3. Step 3: Cross multiply
    97,282.50x = 213,017.25 × 213,017.25
  4. Step 4: Simplify right side
    97,282.50x = 45,376,348,797.56
  5. Step 5: Solve for x
    x = 45,376,348,797.56/97,282.50
  6. Step 6: Final answer
    x = 466,438.97

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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.