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Finding the Third Proportional to 98,563.50 and 215,785.13

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Solution

The third proportional to 98,563.50 and 215,785.13 is: 472,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,563.50 : 215,785.13 = 215,785.13 : x
  2. Step 2: Convert to fraction form
    98,563.50/215,785.13 = 215,785.13/x
  3. Step 3: Cross multiply
    98,563.50x = 215,785.13 × 215,785.13
  4. Step 4: Simplify right side
    98,563.50x = 46,563,220,171.27
  5. Step 5: Solve for x
    x = 46,563,220,171.27/98,563.50
  6. Step 6: Final answer
    x = 472,418.49

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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.