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Finding the Third Proportional to 98,556 and 216,188

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Solution

The third proportional to 98,556 and 216,188 is: 474,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,556 : 216,188 = 216,188 : x
  2. Step 2: Convert to fraction form
    98,556/216,188 = 216,188/x
  3. Step 3: Cross multiply
    98,556x = 216,188 × 216,188
  4. Step 4: Simplify right side
    98,556x = 46,737,251,344
  5. Step 5: Solve for x
    x = 46,737,251,344/98,556
  6. Step 6: Final answer
    x = 474,220.25

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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.