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Finding the Third Proportional to 98,491 and 214,803

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Solution

The third proportional to 98,491 and 214,803 is: 468,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,491 : 214,803 = 214,803 : x
  2. Step 2: Convert to fraction form
    98,491/214,803 = 214,803/x
  3. Step 3: Cross multiply
    98,491x = 214,803 × 214,803
  4. Step 4: Simplify right side
    98,491x = 46,140,328,809
  5. Step 5: Solve for x
    x = 46,140,328,809/98,491
  6. Step 6: Final answer
    x = 468,472.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.