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Finding the Third Proportional to 98,336.25 and 215,626.50

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Solution

The third proportional to 98,336.25 and 215,626.50 is: 472,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,336.25 : 215,626.50 = 215,626.50 : x
  2. Step 2: Convert to fraction form
    98,336.25/215,626.50 = 215,626.50/x
  3. Step 3: Cross multiply
    98,336.25x = 215,626.50 × 215,626.50
  4. Step 4: Simplify right side
    98,336.25x = 46,494,787,502.25
  5. Step 5: Solve for x
    x = 46,494,787,502.25/98,336.25
  6. Step 6: Final answer
    x = 472,814.32

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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.