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Finding the Third Proportional to 97,453.50 and 220,113

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Solution

The third proportional to 97,453.50 and 220,113 is: 497,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,453.50 : 220,113 = 220,113 : x
  2. Step 2: Convert to fraction form
    97,453.50/220,113 = 220,113/x
  3. Step 3: Cross multiply
    97,453.50x = 220,113 × 220,113
  4. Step 4: Simplify right side
    97,453.50x = 48,449,732,769
  5. Step 5: Solve for x
    x = 48,449,732,769/97,453.50
  6. Step 6: Final answer
    x = 497,157.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.