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Finding the Third Proportional to 98,554 and 216,184

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Solution

The third proportional to 98,554 and 216,184 is: 474,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,554 : 216,184 = 216,184 : x
  2. Step 2: Convert to fraction form
    98,554/216,184 = 216,184/x
  3. Step 3: Cross multiply
    98,554x = 216,184 × 216,184
  4. Step 4: Simplify right side
    98,554x = 46,735,521,856
  5. Step 5: Solve for x
    x = 46,735,521,856/98,554
  6. Step 6: Final answer
    x = 474,212.33

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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.