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Finding the Third Proportional to 98,619.50 and 215,896

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Solution

The third proportional to 98,619.50 and 215,896 is: 472,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,619.50 : 215,896 = 215,896 : x
  2. Step 2: Convert to fraction form
    98,619.50/215,896 = 215,896/x
  3. Step 3: Cross multiply
    98,619.50x = 215,896 × 215,896
  4. Step 4: Simplify right side
    98,619.50x = 46,611,082,816
  5. Step 5: Solve for x
    x = 46,611,082,816/98,619.50
  6. Step 6: Final answer
    x = 472,635.56

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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.