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Finding the Third Proportional to 97,217.50 and 213,122.50

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Solution

The third proportional to 97,217.50 and 213,122.50 is: 467,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,217.50 : 213,122.50 = 213,122.50 : x
  2. Step 2: Convert to fraction form
    97,217.50/213,122.50 = 213,122.50/x
  3. Step 3: Cross multiply
    97,217.50x = 213,122.50 × 213,122.50
  4. Step 4: Simplify right side
    97,217.50x = 45,421,200,006.25
  5. Step 5: Solve for x
    x = 45,421,200,006.25/97,217.50
  6. Step 6: Final answer
    x = 467,212.18

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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.