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Finding the Third Proportional to 97,531.50 and 209,612.25

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Solution

The third proportional to 97,531.50 and 209,612.25 is: 450,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,531.50 : 209,612.25 = 209,612.25 : x
  2. Step 2: Convert to fraction form
    97,531.50/209,612.25 = 209,612.25/x
  3. Step 3: Cross multiply
    97,531.50x = 209,612.25 × 209,612.25
  4. Step 4: Simplify right side
    97,531.50x = 43,937,295,350.06
  5. Step 5: Solve for x
    x = 43,937,295,350.06/97,531.50
  6. Step 6: Final answer
    x = 450,493.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.