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Finding the Third Proportional to 98,702 and 217,082.50

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Solution

The third proportional to 98,702 and 217,082.50 is: 477,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,702 : 217,082.50 = 217,082.50 : x
  2. Step 2: Convert to fraction form
    98,702/217,082.50 = 217,082.50/x
  3. Step 3: Cross multiply
    98,702x = 217,082.50 × 217,082.50
  4. Step 4: Simplify right side
    98,702x = 47,124,811,806.25
  5. Step 5: Solve for x
    x = 47,124,811,806.25/98,702
  6. Step 6: Final answer
    x = 477,445.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.