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Finding the Third Proportional to 98,718.75 and 213,834.94

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Solution

The third proportional to 98,718.75 and 213,834.94 is: 463,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,718.75 : 213,834.94 = 213,834.94 : x
  2. Step 2: Convert to fraction form
    98,718.75/213,834.94 = 213,834.94/x
  3. Step 3: Cross multiply
    98,718.75x = 213,834.94 × 213,834.94
  4. Step 4: Simplify right side
    98,718.75x = 45,725,380,495.63
  5. Step 5: Solve for x
    x = 45,725,380,495.63/98,718.75
  6. Step 6: Final answer
    x = 463,188.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.