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Finding the Third Proportional to 97,053.75 and 212,099.25

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Solution

The third proportional to 97,053.75 and 212,099.25 is: 463,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,053.75 : 212,099.25 = 212,099.25 : x
  2. Step 2: Convert to fraction form
    97,053.75/212,099.25 = 212,099.25/x
  3. Step 3: Cross multiply
    97,053.75x = 212,099.25 × 212,099.25
  4. Step 4: Simplify right side
    97,053.75x = 44,986,091,850.56
  5. Step 5: Solve for x
    x = 44,986,091,850.56/97,053.75
  6. Step 6: Final answer
    x = 463,517.30

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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.