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Finding the Third Proportional to 98,469 and 216,084

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Solution

The third proportional to 98,469 and 216,084 is: 474,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469 : 216,084 = 216,084 : x
  2. Step 2: Convert to fraction form
    98,469/216,084 = 216,084/x
  3. Step 3: Cross multiply
    98,469x = 216,084 × 216,084
  4. Step 4: Simplify right side
    98,469x = 46,692,295,056
  5. Step 5: Solve for x
    x = 46,692,295,056/98,469
  6. Step 6: Final answer
    x = 474,182.69

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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.