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Finding the Third Proportional to 97,231.50 and 211,061.25

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Solution

The third proportional to 97,231.50 and 211,061.25 is: 458,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,231.50 : 211,061.25 = 211,061.25 : x
  2. Step 2: Convert to fraction form
    97,231.50/211,061.25 = 211,061.25/x
  3. Step 3: Cross multiply
    97,231.50x = 211,061.25 × 211,061.25
  4. Step 4: Simplify right side
    97,231.50x = 44,546,851,251.56
  5. Step 5: Solve for x
    x = 44,546,851,251.56/97,231.50
  6. Step 6: Final answer
    x = 458,152.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.