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Finding the Third Proportional to 98,554 and 216,194

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Solution

The third proportional to 98,554 and 216,194 is: 474,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,554 : 216,194 = 216,194 : x
  2. Step 2: Convert to fraction form
    98,554/216,194 = 216,194/x
  3. Step 3: Cross multiply
    98,554x = 216,194 × 216,194
  4. Step 4: Simplify right side
    98,554x = 46,739,845,636
  5. Step 5: Solve for x
    x = 46,739,845,636/98,554
  6. Step 6: Final answer
    x = 474,256.20

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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.