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Finding the Third Proportional to 97,045.31 and 212,082.75

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Solution

The third proportional to 97,045.31 and 212,082.75 is: 463,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,045.31 : 212,082.75 = 212,082.75 : x
  2. Step 2: Convert to fraction form
    97,045.31/212,082.75 = 212,082.75/x
  3. Step 3: Cross multiply
    97,045.31x = 212,082.75 × 212,082.75
  4. Step 4: Simplify right side
    97,045.31x = 44,979,092,847.56
  5. Step 5: Solve for x
    x = 44,979,092,847.56/97,045.31
  6. Step 6: Final answer
    x = 463,485.48

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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.